in AABC, the measure of angle A=x degree, the measure of angle B=(2x)degrees, and the measure of angle C=(6x+18)degrees. What is the measure of angle B?

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20-03-2021
Mathematics

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in AABC, the measure of angle A=x degree, the measure of angle B=(2x)degrees, and the measure of angle C=(6x+18)degrees. What is the measure of angle B?

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fnej fnej · Answer 1 · 2021-03-20T21:40:11+01:00

fnej fnej

20-03-2021

Answer:

m<B: 36

Step-by-step explanation:

x + 2x + 6x + 18 = 180

9x + 18 = 180

9x = 162

x = 18

m<B:

2x

2(18)

36

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amysun2025 amysun2025 · Answer 2 · 2021-03-20T21:47:35+01:00

Answer:

m<B=36°

Step-by-step explanation:

The sum of angles in a triangle add up to 180°.

That means the sum of m<A+m<B+m<C=180°

We're given that:

m<A=x°

m<B=(2x)°

m<C=(6x+18)°

we can substitute those values as m<A, m<B, and m<C

x+2x+6x+18=180

combine like terms

9x+18=180

subtract 18 from both sides

9x=162

divide by 9

x=18°

we found the value of x, but we're not done yet

The question asks to find m<B, which is 2x°

in that case, we can substitute our known value to find the measure of <B

m<B=2x°

m<B=2(18)°

m<B=36°