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What is the value of x in the figure? Enter your answer in the box.
145º
(2x + 15)

What is the value of x in the figure? Enter your answer in the box. 145º (2x + 15)-example-1
User Iopq
by
7.3k points

1 Answer

5 votes

Answer:

x = 65

Explanation:

The angle labeled with the expression " ( 2x + 15 ) " and the angle with the measure of 145° are vertical angles

Vertical angles are congruent (In other words, they are equal to each other)

Hence, 2x + 15 = 145

^ ( Note that we just created an equation that we can use

to solve for x )

Using that same equation we then solve for x

2x + 15 = 145

step 1 subtract 15 from each side

15 - 15 cancels out

145 - 15 = 130

we now have 130 = 2x

step 2 divide each side by 2

130 / 2 = 65

2x / 2 = x

we're left with x = 65

User JulienD
by
7.1k points