Angle Relationships.

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Presentation transcript:

Angle Relationships

Warm Up

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.

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°.

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

Are angles BFC and DFE vertical angles? Explain. What angle relationship could we use to find m<CFE?

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

Must supplementary angles be adjacent? Justify your answer.

Find the measure of angle RST.

Find the measure of angle HJK.

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

The measure of ∠D is 5 times the measure of ∠E The measure of ∠D is 5 times the measure of ∠E. The two angles are supplementary. Find the measure of each angle.

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