Question

49°
Solve for 42.
2 = [?]
44/62

Answer 1

`\displaystyle \angle2 = \bigg[{41}^( \circ) \bigg]`

Explanation:

we are given a right angle triangle

we want to figure out the missing interior angle

recall that,

• one of angle measure of a right angle triangle is 90°
• interior angles of a triangle add up to 180°

thus our equation is

`\displaystyle {49}^( \circ) + \angle2 + {90}^( \circ) = {180}^( \circ)`

simplify addition:

`\displaystyle \angle2 + {139}^( \circ) = {180}^( \circ)`

cancel 139° from both sides:

`\displaystyle \angle2 = {41}^( \circ)`

hence,

the measure of the missing angle is 41°

Answer 2

∠2 = 41°

Explanation:

∠2 + 49° + 90° = 180°

∠2 + 139° = 180°

∠2 = 180° - 139°

∠2 = 41°