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What is the value for y

What is the value for y-example-1

2 Answers

1 vote

Answer:

y = 107°

Explanation:

As you can see from the markings on the triangle, this is an isosceles triangle (two sides are congruent).

An isosceles triangle has the base angles congruent too.

So at this point,

34 = x - 5

Solve for x,

34 = x - 5

x = 34 + 5

x = 39

Now, the total angle measure of triangle is 180°.

There are two angles ready to solve for y.

34 + 39 + y = 180

73 + y = 180

y = 180 - 73

y = 107°

User Tread
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5.5k points
3 votes

Answer:y=28

Explanation:

The image given is an isosceles triangle

An isosceles triangle is a triangle with (at least) two equal sides. An isosceles triangle therefore has both two equal sides and two equal angles.

Therefore 34° =(x-5)°.

And 34°+(x-5)°+4y°=180°

This implies;

34°+34°+4y°=180°

68°+4y°=180°

4y°=180°-68°

4y°=112°

4y°/4=112°/4

y=28

User James Gould
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