I need help solving problem 11.
1 answer:
Since triangle ABC is isosceles, then angles 1 and 9 are congruent. 4x + 3 = 9x - 47 -5x = -50 x = 10 m<1 = 4x + 3 = 40 + 3 = 43 m<1 = m<9 = 43 Triangle DBE is equilateral, so it is also equiangular. m< 4 = m<5 = m<6 =60 Angles 3 and 8 are supplementary to congruent angles that measure 60 deg, so 180 - 60 = 120, so m<3 = m<8 = 120 For angles 2 and 7, use the sum of the measures of the angles of a triangle is 180 deg. m<1 + m<2 + m<3 = 180 43 + m<2 + 120 = 180 m<2 + 163 = 180 m<2 = 17 m<2 = m<7 = 17
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