Answer:
60˚, 75˚
Step-by-step explanation:
for part a:
since all sides are the same length (represented by the 3 same type of tick marks on all sides) then the triangle is equilaterial. Which means all the angles are the same.
Sum of angles in a triangle is 180˚.
x represents the value of <N, <M, and <P
so since all angles are the same, 3x = 180, all angles of part a triangle are 60˚. Therefore, <M is 60˚.
for part b:
this is an isoceles triangle since two sides are the same length.
If it's isoceles, that means it's 2 base angles are the same value.
We've already been given the vertex angle.
x represents the value of <S and <Q
2x + 30 = 180.
2x = 150
x = 75˚
