Question

point D is in the interior of angel ABC, angle ABC= 10x - 7, angel ABD= 6x +5, and angel DBC= 36 degrees, what is angel ABD?

Answer 1

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Answer on Question #48113 – Math – Geometry

Point D is in the interior of angle ABC, angle ABC= 10x - 7, angle ABD= 6x +5, and angle DBC= 36 degrees, what is angle ABD?

Solution:

$$\angle ABC = 10x - 7$$ $$\angle ABD = 6x + 5$$ $$\angle DBC = 36{}^\circ$$

Formula for the angle ABC:

$$\angle ABC = \angle ABD + \angle DBC$$ $$10x - 7 = 6x + 5 + 36$$ $$4x = 48$$ $$x = 12$$

Hence, angle ABC:

$$\angle ABC = 10x - 7 = 10 \cdot 12 - 7 = 120 - 7 = 113{}^\circ$$

Answer: $\angle ABC = 113{}^\circ$.