Question

Can anyone help me with this question and explain how it is solved.

Answer 1

m∠1 = 35°

Explanation:

In the given diagram, two intersecting straight lines create a pair of adjacent angles labeled ∠1 and 145°.

A linear pair is a pair of adjacent angles formed when two straight lines intersect. These angles sum to 180° as they form a straight line. Therefore, the sum of ∠1 and 145° is 180°:

m∠1 + 145° = 180°

Solve the equation for m∠1 by subtracting 145° from both sides of the equation:

m∠1 + 145° - 145° = 180°- 145°

m∠1 = 35°

Therefore, the measure of ∠1 is 35°.

Answer 2

∠ 1 = 35°

Explanation:

∠ 1 and 145° are a linear pair and sum to 180° , that is

∠ 1 + 145° = 180° ( subtract 145° from both sides )

∠ 1 + 145° - 145° = 180° - 145° , that is

∠ 1 = 35°