jaeybird9
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∆ABC is an isosceles triangle in which angles B and C are congruent.If m∠ B = (4x + 10) ° and m∠C = (x+34)°, find the measure of angle A.

Respuesta :

choixongdong
 isosceles triangle in which angles B and C
so 

m∠ B = m∠ C
4x + 10 = x+34
3x = 24
  x = 8

m∠ B = (4x + 10) = 4(8) + 10 = 32+10 = 42
m∠ B = m∠ C = 42
m< A = 180 - 2(42)
m< A = 180 - 84
m< A = 96

answer
m< A = 96
measurement of angle A should be 96 degrees, because if angles B and C are equal then you need to set them equal to each other to find x which is 8. Then plug 8 into the equations and solve. Both angles B and C will equal 42 degrees. Then add them together to get 84 and subtract it from 180(because the angles of a triangle will always equal 180) to find the angle measurement of angle C and it will be 96.