Question

If the measure of ∠1 is 110°, what is the measure of angle 4?

Answer 1

your answer would be 70

Answer 2

m∠4=70°

Explanation:

Given: It is given that a and b are parallel lines cut by transversal f and the measure of ∠1 is 110°.

To find: The measure of the ∠4.

Solution: It is given that a and b are parallel lines cut by transversal f and the measure of ∠1 is 110°.

From the figure drawn,
`{\angle}1+{\angle}2=180^(\circ)` (Linear pair)

`110^(\circ)+{\angle}2=180^(\circ)`

`{\angle}2=70^(\circ)`

Also,
`{\angle}2={\angle}4=70^(\circ)` (Corresponding angles)

Thus, the measure of the angle 4 is 70°.