Answer:
The measure of angle 1 is 150°
Explanation:
Given
Angle 1 = 10x + 20
Angle 2 = 150°
Both angles are vertical
Required
Measure of angle 1.
Angle 1 and Angle 2 are said to be vertical if and only if they are equal.
In other words,
Angle 1 = Angle 2
By substituting 10x + 20 for angle 1 and 150 for angle 2; this gives
10x + 20 = 150
10x = 150 - 20
10x = 130
Divide both sides by 10
10x/10 = 130/10
x = 13.
The question says find the measure of angle 1.
Recall that angle 1 = 10x + 20
Substitute 13 for x
Angle 1 = 13(10) + 20
Angle 1 = 130 + 20
Angle 1 = 150°
Hence, the measure of angle 1 is 150°