Angle Relationships. Warm Up Complementary angles are two angles whose measures have a sum of 90°....

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Angle Relationships

Transcript of Angle Relationships. Warm Up Complementary angles are two angles whose measures have a sum of 90°....

Page 1: Angle Relationships. Warm Up Complementary angles are two angles whose measures have a sum of 90°. Supplementary angles are two angles whose measures.

Angle Relationships

Page 2: Angle Relationships. Warm Up Complementary angles are two angles whose measures have a sum of 90°. Supplementary angles are two angles whose measures.

Warm Up

Page 3: Angle Relationships. Warm Up Complementary angles are two angles whose measures have a sum of 90°. Supplementary angles are two angles whose measures.
Page 4: Angle Relationships. Warm Up Complementary angles are two angles whose measures have a sum of 90°. Supplementary angles are two angles whose measures.

• Complementary angles are two angles whose measures have a sum of 90°.

• Supplementary angles are two angles whose measures have a sum of 180°.

• Adjacent angles are pairs of angles that share a vertex and one side, but do not overlap.

• Congruent angles have the same measure.• Vertical angles are opposite angles formed

by two intersecting lines and are congruent.

Page 5: Angle Relationships. Warm Up Complementary angles are two angles whose measures have a sum of 90°. Supplementary angles are two angles whose measures.

• Use the relationships about angle pairs, such as supplementary, complementary, or vertical angles, to write and solve an equation to find the unknown measure of an angle.

• Two intersecting lines form two pairs of opposite congruent angles. Also, the two measures of each pair of adjacent angles formed by the lines add up to 180°.

Page 6: Angle Relationships. Warm Up Complementary angles are two angles whose measures have a sum of 90°. Supplementary angles are two angles whose measures.

Angle A and angle B are adjacent supplementary angles and m<A = 5(m<B). What are

the measures of angles A and B?

Page 7: Angle Relationships. Warm Up Complementary angles are two angles whose measures have a sum of 90°. Supplementary angles are two angles whose measures.

• Are angles BFC and DFE vertical angles? Explain.

• What angle relationship could we use to find m<CFE?

Page 8: Angle Relationships. Warm Up Complementary angles are two angles whose measures have a sum of 90°. Supplementary angles are two angles whose measures.

• Name a pair of vertical angles.• Name a pair of adjacent angles.• Name a pair of complementary angles.• Name a pair of supplementary angles.

Page 9: Angle Relationships. Warm Up Complementary angles are two angles whose measures have a sum of 90°. Supplementary angles are two angles whose measures.

Must supplementary angles be adjacent? Justify your answer.

Page 10: Angle Relationships. Warm Up Complementary angles are two angles whose measures have a sum of 90°. Supplementary angles are two angles whose measures.

Find the measure of angle RST.

Page 11: Angle Relationships. Warm Up Complementary angles are two angles whose measures have a sum of 90°. Supplementary angles are two angles whose measures.

Find the measure of angle HJK.

Page 12: Angle Relationships. Warm Up Complementary angles are two angles whose measures have a sum of 90°. Supplementary angles are two angles whose measures.
Page 13: Angle Relationships. Warm Up Complementary angles are two angles whose measures have a sum of 90°. Supplementary angles are two angles whose measures.

The measure of ∠A is 4° greater than the measure of ∠B. The two angles are complementary. Find

the measure of each angle.

Page 14: Angle Relationships. Warm Up Complementary angles are two angles whose measures have a sum of 90°. Supplementary angles are two angles whose measures.

The measure of ∠D is 5 times the measure of ∠E. The two angles

are supplementary. Find the measure of each angle.

Page 15: Angle Relationships. Warm Up Complementary angles are two angles whose measures have a sum of 90°. Supplementary angles are two angles whose measures.

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