m∠R = 120 and m∠S = 110. Find m∠T.
The diagram is not to scale.
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The sum of the interior angles of a quadrilateral always add up to 360 degrees. Because we know this, we can find the missing angle. We know two angles currently, angle R and angle S.
Because angle U is equal to angle S, we have three angles:
120, 110, and 110.
120 + 110 + 110 = 340
Because there is only one remaining angle, we can find the length like so:
360 - 340 = 20.
Based on the information given, the value of angle T will be 20°.
It should be noted that the sum of the interior angles of a quadrilateral always add up to 360 degrees.
Therefore, based on the angles given. This will be:
120° + 110° + 110° + T = 360°
340° + T = 360°
T = 360° - 340°
T = 20°
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