Question

(a) Find the degree measure of each angle in the linear
pair. .
3x-15°
2x-10​

Answer 1

Step-by-step explanation:

The key realization is that when two angles form a linear pair, they form a straight line, which has a measure of

180

∘

.

This means we can set up the following equation:

3

x

+

5

+

x

+

15

=

180

This equation is saying that the sum of the two measures of the angles (blue and purple expressions) add up to

180

degrees.

In the equation, we can combine our like terms to get

4

x

+

20

=

180

Next, subtract

20

from both sides to get

4

x

=

160

Next, we can divide both sides by

4

to get

x

=

40

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