2 years ago

Help me please please

Mathematics

1 answer:

Elina [12.6K]2 years ago

8 0

Answer: 7

Step-by-step explanation:

m∠ABC = 40°. Since BD is an angle bisector (divides the angle into two congruent angles), then m∠ABD = 20° and m∠CBD = 20°

ABD = 20 and ABD = 3x - 1

⇒ 20 = 3x - 1

⇒ 21 = 3x

⇒ 7 = x

Check:

CBD = 20 and CBD = 34 - 2x

⇒ 20 = 34 - 2x

⇒ -14 = -2x

⇒ 7 = x $\checkmark$

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