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20 votes
20 votes
What is m∠M? I don't exactly remember how to do this type on problem...

What is m∠M? I don't exactly remember how to do this type on problem...-example-1
User Adam VonNieda
by
3.1k points

2 Answers

19 votes
19 votes

Answer:

m∠M=98º

Step-by-step explanation

Sum of interior angles;

3x-16+x+6+x = 180

5x = 180-6+16

5x = 190

x = 38º

Angle M;

m<M= 3x - 16 = 3(38)-16= 98º

m∠M=98º

User Tyjkenn
by
2.6k points
26 votes
26 votes

Answer:

<M = 98

Explanation:

The sum of the angles of a triangle is 180 degrees

< M + < N + < O = 180

3x-16 + x + x+6 = 180

Combine like terms

5x - 10 = 180

Add 10 to each side

5x-10 + 10 = 180+10

5x = 190

Divide by 5

5x/5 = 190/5

x=38

We want to find <M

<M = 3x-16 = 3*38 -16 = 114-16 =98

User Dmitry R
by
3.1k points