Question

Hi please help I’ve been given two different answers for 7

Answer 1

Question 7.

Given the angle:

• (3x + 23)°

,

• 4x

Let's find the measure of angle ABC.

The two given angles are corresponding angles and corresponding angles are congruent.

Thus, we have:

(3x + 23) = 4x

Let's solve for x:

3x + 23 = 4x

Move the term containing x to the left and move the constant to the right:

3x - 4x = -23

-x = -23

Divide both sides by -1:

`\begin{gathered} (-x)/(-1)=(-23)/(-1) \\ \\ x=23 \end{gathered}`

To solve for angle ABC, we have:

m∠ABC = 4x

m∠ABC = 4(23)

m∠ABC = 92°

Therefore, the measure of angle ABC = 92 degrees.

ANSWER:

x = 23°

m∠ABC = 92°