Answer:
[tex] \displaystyle \angle2 = \bigg[{41}^{ \circ} \bigg][/tex]
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
[tex] \displaystyle {49}^{ \circ} + \angle2 + {90}^{ \circ} = {180}^{ \circ} [/tex]
simplify addition:
[tex] \displaystyle \angle2 + {139}^{ \circ} = {180}^{ \circ} [/tex]
cancel 139° from both sides:
[tex] \displaystyle \angle2 = {41}^{ \circ} [/tex]
hence,
the measure of the missing angle is 41°
