Question

PLEASE HELP!!!!! (PICTURE ATTATCHED) (40pts) aleks initial knowledge check

Suppose that is isosceles with base .
Suppose also that and .
Find the degree measure of each angle in the triangle.

Answer 1

f=72

g= 54

h=54

Explanation:

The sum of these three angles must equal 180°.

F + G + H = 180

Since the triangle is an isosceles triangle, the base angles are equal.

4x+14 = 2x+34 subtract 2x from both sides

2x+14 = 34 subtract 14 from both sides

2x = 20 divide by 2 to isolate the variable x.

x = 10

Substutute the 10 for the x variable into the equation.

(4x+14)+(2x+34)+ F =180 Substutute the x for 10.

(4(10)+14)+(2(10)+34)+F=180 solve for what's inside the parenthesis.

(40+14) + (20+34) + F =180 combine like terms

54 + 54 + F = 180 combine like terms

108 + F =180 subtract 108 from both sides.

F = 72