218k views
4 votes
Find the angle measures.

Find the angle measures.-example-1

2 Answers

4 votes

Answer:

angle 1 is 168

Explanation:

Angle 2 is 12

User Hytriutucx
by
8.5k points
5 votes

Answer:

m < 1 = 168°

m < 2 = 12°

Explanation:

Given that the two angles are supplementary, whose sum add up to 180°, and that:

m < 1 = 7x°

m < 2 = (x - 12)°

We can establish the following equation to solve for the measurement of angles 1 and 2:

180° = m < 1 + m < 2

Substitute the values for m < 1 and m < 2 into the equation:

180° = 7x° + (x - 12)°

180° = 7x + x - 12

180° = 8x - 12

Add 12 to both sides:

180° +12 = 8x - 12 + 12

192 = 8x

Divide both sides by 8:


(192)/(8) = (8x)/(8)

24° = x

Therefore:

m < 1 = 7x° = 7(24)° = 168°

m < 2 = (x - 12)° = (24 - 12)° = 12°

To verify that this is corret, add m < 1 and m < 2:

180° = m < 1 + m < 2

180° = 168° + 12°

Since the measurements of m < 1 and m < 2 add up to 180°, then it means that we derived the correct answers.

User Thomas Rollet
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.