Question

Angle and line relationships!
solve with work or explanation pls

Answer 1

x = 12

∠ABD = 54°

∠CBD = 126°

Explanation:

The two marked angles form a straight line, so are a "linear pair." That means their sum is 180°.

∠ABD + ∠CBD = 180°

(4x +6)° +(11x -6)° = 180°

15x = 180 . . . . . . . . . . . . . divide by °, collect terms

x = 12 . . . . . . . . divide by 15

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Angle ABD is (4(12) +6)° = 54°

Angle CBD is (11(12) -6)° = 126°