Question

Please help!! I will mark the brainlest if it’s correct

Answer 1

Answer:

Therefore

m Angle 1 = m Angle 2  = 31° ...Justified

Step-by-step explanation:

Given:

m angle 1 = ( 3x + 10 )°

m angle 2 = ( 5x - 4 )°

To Find:

m∠1 = ?

m∠2 = ?

Solution:

Vertical Angles:  

The angles opposite each other when two lines cross. They are always equal.

∴ m Angle 1 = m Angle 2

Substituting the given values we get

$3x+10=5x-4\\\\2x=14\\\\x=\dfrac{14}{2}=7\\\therefore x =7$

Substituting ' x ' in Angle 1 and Angle 2 we get

m Angle 1 = 3 × 7 + 10 = 31°

m Angle 2 = 5 × 7 - 4  = 31°

Therefore

m Angle 1 = m Angle 2  = 31° ...Justified