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Triss [41]
3 years ago
15

If m <ABC=88,<ABD=2x and <CBD=X-2 THEN SOLVE for x

Mathematics
1 answer:
malfutka [58]3 years ago
8 0

Given m<ABC=88°.

<ABD=2x and <CBD=x-2.

Soltution. m<ABC is the sum of angles m<ABD and m<CBD.

So, we can setup an equation as

m<ABD + m<CBD = m<ABC.

Plugging values of m<ABD, m<CBD and m<ABC in above equation, we get

2x + x-2 = 88

Combining like terms 2x+x=3x, we get

3x-2=88.

Adding 2 on both sides,

3x-2+2=88+2.

3x=90.

Dividing both sides by 3, we get

3x/3=90/3

x=30.

Plugging value of x=30 in given values of m<ABD and m<CBD

<ABD=2x = 2(30) = 60° and

<CBD=x-2 = x-2 = 30-2 =28°.

Therefore, <ABD =60° and <CBD=28°.

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