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hichkok12 [17]
2 years ago
8

11 points Please help me find the value of x

Mathematics
2 answers:
Bond [772]2 years ago
4 0

Answer:

166°

Step-by-step 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°

matrenka [14]2 years ago
4 0
180-97= 83
83x2= 166
ans: x=166
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