Question

Find the m2.

O a. m Q = 30 degrees
O b.mxQ = 60 degrees
O c. m Q = 70 degrees
O d. m2Q = 75 degrees

Answer 1

9514 1404 393

Answer:

d. m∠Q = 75 degrees

Explanation:

The sum of the angles in a triangle is 180°. This triangle is marked to show it is an isosceles triangle, so the two base angles have the same measure.

∠P +∠Q +∠R = 180°

x° +(2x +15)° +(2x +15)° = 180°

5x = 150 . . . . . . . . . . . . . . . . . . . divide by °, subtract 30

x = 30 . . . . . . . . . . . . . . . . divide by 5

m∠Q = (2x +15)° = (2(30) +15)°

m∠Q = 75°