Answer:
∠M = 78º
∠N = 68º
∠P = 34º
Step-by-step explanation:
we know that the inside of a triangle is equal to 180º. we also know that angle p and angle q equal 180º when added together because that's the angle of a straight line. first we need to find angle p.
180 - 146 = 34º
now we can set it up so that all the angles equal 180º when added together.
(5y + 3) + (4y + 8) + 34 = 180
5y + 4y = 9y
9y + 3 + 8 + 34 = 180
3 + 8 + 34 = 45
9y + 45 = 180
-45 -45
-------------------
9y = 135
÷9 ÷9
y = 15
now we can plug 15 in for y
(5 x 15 + 3) = 78º
(4 x 15 + 8) = 68º
to double check, add all three angles and make sure they equal 180º
78 + 68 + 34 = 180
