Find the measure of angle ABD if the measure of angle DBC is 42 degrees and the measure of angle ABC is 88 degrees

1 answer:

6 0

First, realize that angle ABC is the sum of the two other angles. Hence, form an equation in which you subtract the measure of one of the angles from angle ABC to get the measure of the other angle -- the one you are solving for.

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In ABC the measure of angle a is 2X +3 the measure of angle B is 4X +2 and the measure of angle C is 2X-1 what are the measures

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Angle A is 2x + 3
Angle B is 4x + 2
Angle C is 2x - 1

The three angles add up to 180
So:
2x + 3 + 4x + 2 + 2x - 1 = 180
Combine terms
8x + 4 = 180
Subtract 4
8x = 176
x = 22

Now we solve for the angles:
Angle A is 2(22) + 3 = 44 + 3 = 47
Angle B is 4(22) + 2 = 88 + 2 = 90
Angle C is 2(22) - 1 = 44 - 1 = 43

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