∠AED is a straight angle. Prove: m∠AEB = 45° A horizontal line has points A, E, D. 2 lines extend from point E. One line extends
to point B and another extends to point C. Angle C E D is a right angle. Complete the paragraph proof. We are given that Ray E B bisects ∠AEC. From the diagram, ∠CED is a right angle, which measures degrees. Since the measure of a straight angle is 180°, the measure of angle must also be 90° by the . A bisector cuts the angle measure in half. m∠AEB is 45°.
2 answers:
Answer:
Proved
Step-by-step explanation:
Given:
- ∠AED is a straight angle.
- Angle CED is a right angle.
- Ray EB bisects ∠AEC.
To Prove: m∠AEB = 45°
From the diagram, ∠CED is a right angle, which measures 90 degrees.
Since the measure of a straight angle is 180°, the measure of Angle AEC must also be 90° by the Linear Postulate.
A bisector cuts the angle measure in half.
Therefore m∠AEB = 45°.
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