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I have had problems with these questions would anyone be kind enough to help me please.

I have had problems with these questions would anyone be kind enough to help me please-example-1
User Zagyi
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1 Answer

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Answer: x = -4, m∠XFH = 59°

Step-by-step explanation:

These angles given are vertical angles, meaning that they are congruent by definition.

Given:

-2x° + 113° = 12x° + 169°

Subtract 113 and 12x from both sides of the equation:

-14x° = 156°

Divide both sides of the equation by -14:

x = -4

Next, we can write an equation representing ∠XFH, substitute the value of x in, and simplify it to solve. Note that a straight angle is equal to 180 degrees.

Given:

180° = -2x° + 113° + m∠XFH

Substitute known values:

180° = -2(-4)° + 113° + m∠XFH

Simplify:

180° = 121° + m∠XFH

Subtract 121 from both sides of the equation:

59° = m∠XFH

User Umesha Gunasinghe
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