backoffnatesmine12 backoffnatesmine12

07-07-2017
Mathematics

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Given line BD is congruent to BC, find the measure of angle B

Given line BD is congruent to BC find the measure of angle B class=

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nicolina nicolina

07-07-2017

If BD is congruent to BC, that means that the sides are equal, so their angles are too.
6x-9 = 3x+24
3x = 33
x = 33/3
x = 11
Angle BCD:
6×11-9 = 66-9 =57°
Angle BDC:
3×11+24 = 33+24 = 57°
Angle B:
x = 180° - 2×57°
x = 66°

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