Answer:
- m∠H = 53°
- m∠I = 74°
- m∠J = 53°
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Since the triangle is isosceles, the two angles opposite to equal sides are congruent:
The sum of the three angles is 180°:
- 2(3x + 11) + 4x + 18 = 180
- 6x + 22 + 4x + 18 = 180
- 10x + 40 = 180
- 10x = 140
- x = 14
The angle measures are:
- m∠J = m∠H = (3*14 + 11)° = 53°
- m∠I = (4*14 + 18)° = 74°