Question

Please help me with your the question attached below. Please show work I would like to learn this.

THANK YOU!

Answer 1

Answer: m∠5 = m∠7 = 67°

because a//b => m∠4 + m∠5 = 180°

⇔ 113° + m∠5 = 180°

⇔ m∠5 = 180 - 113 = 67°

because ∠5 and ∠7 are 2 opposing angles

=> m∠5 = m∠7 = 67°

Explanation:

Answer 2

• m ∠5 = 67°

• m ∠7 = 67°

Explanation:

Given

• a║b, m ∠ 113

To find

• m ∠5, m ∠7

Solution

Angles 4 and 5 are same side interior angles and their measures add up to 180° as per definition:

• m ∠ 4 + m ∠5 = 180°
• m ∠5 = 180 ° - m ∠4
• m ∠5 = 180° - 113° = 67°

Angles 5 and 7 are vertical angles and they have equal measure as per definition of vertical angles:

• m ∠7 = m ∠5 = 67°