M∠1 = (2x + 13)° and m∠2 = (8x - 43)°. What is m∠1 ?

Question

asked Sep 13, 2021 170k views

1 Answer

Sebamed · Answer 1 · 2021-09-19T03:05:59+0000

Answer:

$\boxed {\angle 1 = 45\textdegree}$

Explanation:

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

$\angle 1 = 2x + 13$

$\angle 2 = 8x - 83$

2x + 13 = 8x - 83

-Solve:

2x + 13 = 8x - 83

2x + 13 - 8x = 8x - 8x - 83

-6x + 13 = -83

-6x + 13 - 13 = -83 - 13

-6x = -96

(-6x)/(-6) = (-96)/(-6)

x = 16

After you have found the value of
, you need to apply the value of
to the equation of
$\angle 1$ and solve for the measurement of
$\angle 1$ :

-The value of
:

x = 16

-Solve for the measurement of
$\angle 1$ :

2x + 13

2(16) + 13

32 + 13

$45\textdegree$

-The measurement of
$\angle 1$ :

$\boxed {\angle 1 = 45\textdegree}$