The image shows a circle centered at point O. Angle AOB measures 50 degrees. What is the measure of angle ACB?
1 answer:
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We know that the sum of the internal angles in each triangle is 180°.
Therefore we have the equation:
substitute and solve:
We have
substitute the value of x to the expression:
Answer: m∠N = 42 degrees
Answer:
The proof is given below.
Step-by-step explanation:
Given the two triangles which are similar we have to prove that the ratio of their angle bisectors and the side or we can say that the ratio of their altitude are proportional.
In ΔABP and ΔDEQ
∠1=∠2 (Given)
∠3=∠4 (each 90°)
By AA similarity rule ΔABP≅ΔDEQ
As if the two triangles are similar then their corresponding sides are proportional
⇒
Hence, Corresponding angle bisectors of similar triangles are proportional and their ratio is equal to the ratio of altitude.
