Question

49° Solve for 42. 2 = [?] 44/62

Answer 1

Answer:

$\displaystyle \angle2 = \bigg[{41}^{ \circ} \bigg]$

Step-by-step 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

Answer:

∠2 = 41°

Step-by-step explanation:

∠2 + 49° + 90° = 180°

∠2 + 139° = 180°

∠2 = 180° - 139°

∠2 = 41°