∠1 and ∠2 are vertical angles. If m∠1 = (5x + 12)° and m∠2 = (6x - 11)°. What is m∠2?

Question

asked May 4, 2021 176k views

1 Answer

Hoyhoy · Answer 1 · 2021-05-09T23:25:21+0000

Answer:

$\boxed {\angle 2 = 127\textdegree}$

Explanation:

First, you need to write an expression by using the following measurements from both
$\angle 1$ and
$\angle 2$ , and solve for
:

$\angle 1 = 5x + 12$

$\angle 2 = 6x - 11$

5x + 12 = 6x - 11

Solve for
:

5x + 12 = 6x - 11

5x + 12 - 6x = 6x - 6x - 11

-x + 12 = -11

-x + 12 - 12 = -11 - 12

-x = -23

(-x)/(-1) = (-23)/(-1)

x = 23

After you have the value of
, use the value of
and the expression from
$\angle 2$ to get the actual measurement of
$\angle 2$ :

-The value of
:

x = 23

$\angle 2 = 6x - 11$

Solve for
$\angle 2$ :

6x - 11

6(23) - 11

138 - 11

127

The measurement of
$\angle 2$ :

$\boxed {\angle 2 = 127\textdegree}$