Question

if 2x-25 and x + 40 are vertically opposite angles then the measure of x is
a) 165
b) 65
c) complement of 25
D) complement of 115​

Answer 1

Answer:

If they are vertically opposite angles then their values are also same, so

2x-25 = x+40

or, 2x-x = 40+25

or, x = 65

So, the answer is b) 65°

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Answer 2

Given:

Angle 1 = 2x - 25.

Angle 2 = x + 40.

To Find:

The value of x.

Solution:

We know that,

The vertically opposite angles are equal to each other.

So,

2x - 25 = x + 40.

2x - x = 40 - 25.

x = 15.

Hence, the value of x is 15.