133k views
5 votes
Need this please !!!!!

Need this please !!!!!-example-1

1 Answer

2 votes

Answer:

  • m∠H = 53°
  • m∠I = 74°
  • m∠J = 53°

----------------------------------

Since the triangle is isosceles, the two angles opposite to equal sides are congruent:

  • m∠J = m∠H = (3x + 11)°

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°
User ERNESTO ARROYO RON
by
8.6k points