Question

What is the measure of 3 in degrees?

Answer 1

∠3 = 80°

Explanation:

Linear pair:

If the non-common arms of two adjacent angles form a straight line, the two angles form linear pair and they add to 180.

∠1 + ∠2 = 180

7x - 4 + 6x + 28 = 180

7x + 6x - 4 + 28 = 180

Combine like terms,

13x + 24 = 180

Subtract 24 from both sides,

13x = 180 - 24

13x = 156

Divide both sides by 13,

x = 156 ÷ 13

`\sf \boxed{x = 12}`

Corresponding angles:

When two parallel lines are intersected by a transversal, the angles that are same relative position at each intersection are called corresponding angles and they are equal.

∠1 and ∠3 are corresponding angles, and they are equal.

∠1 = 7x - 4

= 7*12 - 4

= 84 - 4

∠1 = 80°

∠3 = ∠1

= 80°