Question

M∠abdm, angle, a, b, d is a straight angle. \qquad m \angle cbd = 8x + 16^\circm∠cbd=8x+16 ∘ m, angle, c, b, d, equals, 8, x, plus, 16, degrees \qquad m \angle abc = 6x - 60^\circm∠abc=6x−60 ∘ m, angle, a, b, c, equals, 6, x, minus, 60, degrees find m\angle abcm∠abcm, angle, a, b, c:

Answer 1

Given:

M ∠ ABD is a straight angle. ∠ ABC = 2x + 50∘ ∠ CBD = 6x + 2∘  

To find:

Find m ∠ CBD

Solution:

From given, we have,

∠ ABD = 180°

∠ ABC = 2x + 50∘ ∠ CBD = 6x + 2∘  

Consider the attached figure while going through the following steps.

∠ ABC + ∠ CBD = 2x + 50° + 6x + 2°

180° = 8x + 52°

180° - 52° = 8x

128° = 8x

∴ x = 16°

Now consider,

∠ ABC = 2x + 50° = 2(16) + 50 = 82°

∠ CBD = 6x + 2° = 6(16) + 2 = 98°

∴ ∠ ABC = 82°  and ∠ CBD =  98°

Answer 2

Answer: m∠abc = 36°

Step-by-step explanation:

khan academy hint said this was the answer lol