Question

segment AB is a diameter of a circle. C is a point on the circumference such that in triangle ABC, angle B is less by 10° then angle A find the measure of all angles of triangle ABC.

Answer 1

please mark it brainliest if you liked.

Answer 2

Answer:

90°, 50° and 40°.

Step-by-step explanation:

Given,

AB is the diameter of the circle,

And, C is the point on the circumference of the circle,

⇒ ∠ACB is an angle inscribed in semicircle.

Since, an angle inscribed in semicircle is complementary,

⇒ m∠ACB = 90°

Let in triangle ABC,

m∠ BAC = x,

According to the question,

m∠ ABC = x - 10°

We know that,

m∠ACB + m∠ BAC + m∠ ABC = 180°

90° + x + x - 10° = 180°

2x + 80° = 180°

2x = 100° ⇒ x = 50°,

Hence, the measurement of all angles of triangle ABC,

m∠ACB = 90°, m∠ BAC = 50° and m∠ ABC = 40°