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Please help me find the value of x

11 points Please help me find the value of x-example-1
User Svenson
by
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2 Answers

7 votes
180-97= 83
83x2= 166
ans: x=166
User Hiero De Paula
by
8.2k points
2 votes

Answer:

166°

Explanation:

Let's label our triangle.

We'll name the left one, next to ∠x, ∠A.

The bottom one, next to the 97°, ∠B.

And the top one, ∠C.

We know what angle ∠A is because its a supplementary angle to the 97° one.

180° - 97° = 83°

We know that the triangle is isosceles, so that gives us ∠C as well. 83°

∠A is the last remaining angle.

The sum of the angles to our ΔABC is 180°.

∠A = 180° - ∠B - ∠C

∠A = 180° - 83°- 83°

∠A = 14°

∠x and ∠A are supplementary angles!

∠x = 180° - ∠A

∠x = 180° - 14°

∠x = 166°

User Faheem Azaz Bhanej
by
7.4k points

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