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
[tex]3x+10=5x-4\\\\2x=14\\\\x=\dfrac{14}{2}=7\\\therefore x =7[/tex]
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
