The missing angle ∠APB, angle ∠CPD, and angle ∠EPA will be 65°, 77°, and 77° respectively.
What is an angle?
The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.
The diagram is given below.
The angle ∠BPC is 38° and the angle ∠DPE is 103°.
Then the missing angle will be
Angle ∠CPD and angle ∠DPE are linear angles. Then we have
∠CPD + ∠DPE = 180°
∠CPD + 103° = 180°
∠CPD = 77°
Similarly, angle ∠APB, angle ∠BPC, and angle ∠CPD are linear angles. Then we have
∠APB + ∠BPC + ∠CPD = 180°
∠APB + 38° + 77° = 180°
∠APB = 65°
Then the complete circle makes 360°. Then we have
∠APB = 360° - 65° - 38° - 77° - 103°
∠APB = 77°
More about the angled link is given below.
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