Question

Find m_ABD and mZCBD given m ABC = 77º. A (3x + 22) D 16 (5x - 17) B C mZ ABD |° and mZCBD​

Answer 1

∠ ABD = 49°, ∠ CBD = 28°

Explanation:

∠ ABD + ∠ CBD = ∠ ABC , substitute values

3x + 22 + 5x - 17 = 77 , that is

8x + 5 = 77 ( subtract 5 from both sides )

8x = 72 ( divide both sides by 8 )

x = 9

Thus

∠ ABD = 3x + 22 = 3(9) + 22 = 27 + 22 = 49°

∠ CBD = 5x - 17 = 5(9) - 17 = 45 - 17 = 28°