Question

What's the value for y?

Answer 1

y = 14

Explanation:

`\text{This is an isosceles triangle, therefore the angles at the base are congruent.}\\\\\text{Therefore we have the equation:}\\\\2x=50\qquad\text{divide both sides by 2}\\\\\boxed{x=25}\\\\\text{The sum of the measures of angles in the triangle is 180}^o.\\\\\text{Therefore:}\\\\m\angle A+m\angle B+m\angle C=180^o\\\\\text{We have the equation:}\\\\50+50+(5y+10)=180\\\\100+5y+10=180\\\\110+5y=180\qquad\text{subtract 110 from both sides}\\\\5y=70\qquad\text{divide both sides by 5}\\\\\boxed{\boxed{y=14}}`

Answer 2

y=14

Explanation:

We know that this is an isosceles triangle because the two sides are equal.

That means the bottom two angles are equal at 50 degrees.

The three angles of a triangle add to 180 degrees

50+50+ 5y+10 = 180

Combine like terms

110 +5y = 180

Subtract 110 from each side

110-110 +5y = 180-110

5y = 70

5y/5 = 70/5

y = 14