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What is the value of x?

What is the value of x?-example-1
User Felix ZY
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1 Answer

10 votes

Explanation:

2 things to remember :

1. the sum of all angles in a triangle is always 180°.

2. the sum of all angles around a single point on one side of a line is also 180° (because the line can be seen as the diameter of a circle, the point as its center, and so every side of the line is a half-circle = 180°).

so, the third, unnamed angle in the triangle is the supplementary angle to 142° (that means they complete each other to full 180°).

it is therefore

180 - 142 = 38°

and then, inside the triangle

180 = 66 + x + 38 = 104 + x

x = 76°

User Rafik Farhad
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3.6k points