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The measure of ∠ABD is (0.18x+54)° and the measure of ∠CBD is (0.07x+39)°. find the value of x.

The measure of ∠ABD is (0.18x+54)° and the measure of ∠CBD is (0.07x+39)°. find the-example-1
User Adinas
by
3.1k points

1 Answer

10 votes

Answer:

x = 348

Explanation:

From the given we can tell it a supplementary angle.

Don't know what supplementary angle is?

Supplementary angle are angles that :

Equal 180 °

Solve:

Since,

∠ABD is (0.18x+54)°

∠CBD is (0.07x+39)°

Thus,

(0.18x+54) + 0.07x + 39 = 180

Group likes terms:

0.25x + 54 + 39 = 180

0.25 + 93 = 180

Subtract 93 from both sides

0.25x = 87

x = 348

Check Answer:

0.18(348) + 54 + 0.07(348) + 39

= 180

User Matthew Kwong
by
3.4k points