Question

M P = 40°, m 1 =

40
50
90
130
(see picture)

Answer 1

P=40
M=90
2= 50
1= 130 degrees

Answer 2

m∠1 = 130°

Option 4 is correct

Explanation:

Given that,

m∠P = 40°, PM ⊥ MO

In a right ΔPMO,

∠PMO = 90°, m∠P = 40°

∠1 is an exterior angle at vertex O

m∠1 = ∠PMO + m∠P (Exterior angle property triangle)

Exterior angle: Sum of two interior angles of a triangle is equal to opposite exterior angle.

m∠1 = 90° + 40°

m∠1 = 130°

Hence, The measure of m∠1 = 130°