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erma4kov [3.2K]
3 years ago
15

Angle G and H are vertical angles. If angle G is 45 degrees and angle H is 2x degrees, what is the value of x?

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
6 0

Answer:

x = 22.5

Step-by-step explanation:

Vertical angles are congruent by the vertical angles theorem. Therefore is angle G is 45 degrees, then that means that angle H must be 45 degrees as well.

The value of x can be found by making the expression that represents angle H (2x) equal to 45 in an equation to solve for x.

2x = 45

Divide both sides by 2.

x = 22.5

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<em>Use </em><em>the </em><em>equation</em><em> </em><em>y=</em><em>mx+</em><em>c</em>

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<em>therefore</em><em> </em><em>you </em><em>firstly</em><em> </em><em>have </em><em>to </em><em>find </em><em>the </em><em>y </em><em>intercept</em><em> (</em><em>c)</em>

<em>y=</em><em>mx+</em><em>c</em>

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