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91Ó°ÊÓ

Name a pair of congruent:

a. acute angles

b. right angles

c. obtuse angles

Short Answer

Expert verified
  1. A pair of congruent acute angles is (∠AOB,∠AOB).
  2. A pair of congruent right angles is (∠AOC,∠COH).
  3. A pair of congruent obtuse angles is(∠AOG,∠HOB).

Step by step solution

01

a. Step 1 - Apply the definition of congruent angles

Congruent angles are the angles that have equal measures.

02

a. Step 2 - Apply the definition of acute angles

Acute angles are the angles which measures between 0°and 90°.

03

a. Step 3 - Observe the figure and identify a pair of congruent acute angles

From the figure, it can be observe that ∠AOBand ∠HOGare both congruent and acute angles, that is, both measures 20°and is less than 90°.

Therefore, a pair of congruent acute angles is ∠AOB,∠HOG.

04

b. Step 1 - Apply the definition of congruent angles

Congruent angles are the angles that have equal measures.

05

b. Step 2 - Apply the definition of right angle

Right angle is an angle which measures exactly 90°.

06

b. Step 3 - Observe the figure and identify a pair of congruent right angles

From the figure, it can be observe that ∠AOCand ∠COHare both congruent and right angles, that is, both measures exactly 90°.

Therefore, a pair of congruent right angles is ∠AOC,∠COH.

07

c. Step 1 - Apply the definition of congruent angles

Congruent angles are the angles that have equal measures.

08

c. Step 2 - Apply the definition of obtuse angles

Obtuse angles are the angles which measures between 90°and 180°.

09

c. Step 3 - Observe the figure and identify a pair of congruent obtuse angles

From the figure, it can be observe that ∠AOGand ∠HOBare both congruent angles and obtuse angles that is, both measures 160°and are less than 180°.

Therefore, a pair of congruent obtuse angles is ∠AOG,∠HOB.

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