Answer:
The measure of the missing angle is 50°.
Step-by-step explanation:
☆A triangle equals 180°.
☆A right angle equals 90°
☆We have two angles given to us, however one out of the two angles might be tricky for some to figure out.
☆An angle, we obviously see, is 40°.
☆The right angle, (the one with a box) equals 90°, so therefore, the value of that angle is 90°.
☆In order to find the value of the last angle, we are going to have to subtract the sum of both numbers from 180°.
☆We are subtracting it from 180° because a triangle equals 180°.
☆An equation would look like:
[tex]40 + 90 + x= 180[/tex]
☆The X indicated in the equation represents the unknown angle.
☆Let's solve the equation.
☆[tex]40 + 90 + x = 180 \\ 130 + x = 180 \\ \frac{ - 130 \: \: \: \: \: \: = - 130}{x = 50} [/tex]
☆Without an equation, you could just add both angles, and subtract it from 180.
☆[tex]40 + 90 = 130 \\ 180 - 130 = 50[/tex]
☆Therefore, the missing angle is 50°.
