Answered

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BD bisects Find m
ABC= 25x+34

CBD = 11x+23

BD Bisects Find M ABC 25x34 CBD 11x23 class=

Sagot :

The measure of angles are

i) Angle ABD = 67°

ii) Angle CBD = 67°

iii) Angle ABC = 134°

We have been given that ray BD bisects angle ABC and also

Angle ABC = (25x+34)°

Angle CBD = (11x + 23)°

Note that angle ABC = angle ABD + angle CBD          (1)

And angle ABD = angle CBD = (11x + 23)° as it is bisected into two equal half.

Therefore putting the required values of angle in equation (1) we get

          (25x+34)° = 2(11x+23)°

           25x+34 = 22x+46

           25x – 22x = 46 – 34

                3x = 12

                  x = 4

Hence,   angle ABD = (11*4 + 23) ° = 44+23 = 67°

               Angle CBD = (11*4 + 23) ° = 44+23 = 67°

               angle ABC = (25*4 + 34)° = 100+34 = 134°

Learn more about angles here : https://brainly.com/question/24775470

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