Question

Suppose that AHIJ is isosceles with base IJ.

Suppose also that m ZI= (3x+34)° and mZJ=(2x+40)º.
Find the degree measure of each angle in the triangle.
H
(3x + 34)
(2x + 40)

Answer 1

x= 0.333 if this help well there

Answer 2

• m∠H = 76°

Explanation:

Given triangle HIJ with:

• ∠I ≅ ∠J
• m∠I = 3x + 34
• m∠J = 2x + 40

Find the value of x first, solving the following equation:

• 3x + 34° = 2x + 40°
• 3x - 2x = 40° - 34°
• x = 6°

Find the angle measure of I and J:

• 3*6° + 34° = 18° + 34° = 52°

Find the measure of angle H:

• m∠H = 180° - 2*52° = 180° - 104° = 76°