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40 votes
40 votes
Please help me i dont the answer

Please help me i dont the answer-example-1
User Paul Dessert
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2.6k points

2 Answers

21 votes
21 votes

Answer:

First find the last angle of the triangle.

180 - 136 = 44° (sum of angles on a straight line=180)

Form an equation with the unknown angles with the knowledge that sum of angles in a triangle add up to 180°.

x + (x + 14) + 44 = 180

Simplify and solve for x.

2x + 58 = 180

2x = 122

x = 61

User Emilio Bool
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2.7k points
17 votes
17 votes


\huge\underline\mathcal{Answer \: -}

We know that ,

exterior angle equals sum of two interior opposite angles.

therefore ,


\bold{x + x + 14 = 136\degree} \\ \\ \longrightarrow \: 2x + 14 = 136\degree \\ \\ \longrightarrow \: 2x = 136\degree - 14 \\ \\ \longrightarrow \: 2x = 122\degree \\ \\ \longrightarrow \: x = \cancel(122)/(2) \\ \\ \longrightarrow\boxed{ \: x = 61\degree}

hence , the first option is correct.

hope helpful ! ;-;

User Indian
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2.8k points