Question

Find the value of x

m<2= 7x + 13​

Answer 1

x=12

Explanation:

We have two known angles: 90 and 52. We need to find the last angle: Just subtract 90 and 52 from 180.

180-90-52= 38.

The line going down the middle of the triangle means that it has divided the right angle into two. So now we know that 38+ (90/2) +m<2 = 180. Substitute the value of m<2 in the equation:

38+45+7x+13=180

Simplify by combining like terms

96+7x = 180

Now, solve for x:

7x= 84

x=12

Answer 2

13

Explanation:

The triangle is isosceles.

<2 = the sum of two remote (non connecting angles to <2). Since they are marked as equal they are both 52. That is what an isosceles triangle does.

So the total of those two angles is 52 + 52 = 104

Therefore the measure of <2 = 104

Now you have something to work with because <2 also = 7x + 13

7x + 13 = 104

7x +13 - 13 = 104 - 13

7x = 91

x = 91 / 7

x = 13