Triangle ABC has measures a = 2, b = 2, and m∠A = 30°. What is the measure of angle B?
2 answers:
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Answer:
See explanation
Step-by-step explanation:
The given circle has center O.
A, B,C, and D are points on the circumference of the circle.
We want to prove that:
We need to join to B and C as shown in the attachment.
Recall that angle subtended by arc BC at the center is twice the angle subtended at the circumference by the same arc.
This implies that:
The LHS of equation (1) and (2) are equal. Therefore the RHS are also equal.
This implies that:
