Question

What is m∠M ? Enter your answer in the box. ° The figure shows what appears to be obtuse triangle M N O with obtuse angle M. The measure of angle M is left parentheses 3 times x minus 16 right parentheses degrees. The measure of angle N is x degrees. The measure of angle O is left parentheses x plus 6 right parentheses degrees.

Answer 1

98

Explanation:

I got it wrong when I typed in 126.5, its actually 98

Go forth and Conquer

Answer 2

We know:

The sum of the measures of the angles of a triangle is equal 180°.

Therefore we have the equation:

`(3x-16)+x+(x+6)=180\\\\3x-16+x+x+6=180\\\\(3x+x+x)+(-16+6)=180\\\\4x-10=180\ \ \ \ |+10\\\\4x=190\ \ \ \ |:4\\\\x=47.5`

m∠M = (3x-16)°

Substitute:

`m\angle M=(3\cdot47.5-16)^o=(142.5-16)^o=126.5^o`

Answer: m∠M = 126.5°