Question

Solve for x and then give the m

Answer 1

x = 38 and m∠M = 98

Explanation:

Angles in any triangle will always add up to 180 :

So angle O + Angle N + Angle M = 180

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

Simplify:

5x-10 = 180

Add 10 to both sides :

5x = 190

Divide both sides by 5 :

x = 38

Angle M will therefore

= 3(38) - 16
= 114 - 16

= 98

Hope this helped and have a good day

Answer 2

x = 38

Explanation:

(x + 6) + (3x - 16) + x = sum of angles in a triangle

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

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

5x +(-10) = 180

5x - 10 = 180

5x = 180 + 10

5x = 190

5x/5 = 190/5

x = 38