Answer:
the answer is MQA =130°
Wen u draw a parallel line with respect to MD through Q, the angle between the line become 40 degree - alternate angles
so the rest is 90 degree, therefore 90 + 40 = 130 degree
Answer:
∠MQA = 130°
Step-by-step explanation:
∠MDQ = 90° ( angle between tangent and radius )
Given ∠QMD = 40°, then
∠MQD = 180° - (90 + 40)° = 180° - 130° = 50° ( sum of angles in a triangle )
∠MQD and ∠MQA form a straight angle and are supplementary, thus
∠MQA = 180° - 50° = 130°
OR
The external angle of a triangle is equal to the sum of the 2 opposite interior angles
∠MQA is an exterior angle of the triangle, thus
∠MQA = 90° + 40° = 130°
