Question

What is the value of y?

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Answer 1

You must know that the sum of interior angles is 180°. We also know that AC and BA are congruent which means angles B and C are also congruent. To find x we can assume 25=5x. Which makes x=5, and angle C=25°.

Then we can add all the angles to find y and A. 25+25+(3y+70)=180. Then solve for y and then solve for angle A.

Answer 2

`y=20^o`

Explanation:

We can see from our given triangle that it has two equal sides. This means that the angles corresponding to these sides will be of equal measure.

`m\angle C=m\angle B`

Upon substituting our given values we will get,

`m\angle C=25^o`

Since the measure of all the angles of a triangle is 180 degrees.

`m\angle A+m\angle B+m\angle C=180^o`

Now let us substitute the measures of our given angles.

`3y+70+25+25=180`

`3y+120=180`

`3y+120-120=180-120`

`3y=60`

Let us divide both sides of our equation by 3.

`(3y)/(3)=(60)/(3)`

`y=20`

Therefore, the value of y is 20 degrees.