Question

EXERCISES (D)
Calculate the angles marked with letters. O is the centre of the circle wherever given,
​

Answer 1

Answer:

Angle a=50

Step-by-step explanation:

Theorem 1: The angle formed by a chord on a circle is half that of the chord's central angle in the same order.

According to theorem 1, since the obtuse angle is 130°, b = 360° - 260° = 100°, and a = b/2 = 50°.

Theorem 2: The acute angle formed by a chord in a circle with the radius drawn from any of its points forms a complementary pair with the chord's angle on the circle.

[Note: If the sum of two angles is 90°, they are said to be complementary.]

According to theorem 2, c = 90° - a = 40°.

"Angle" comes from the Latin word "angulus," which means "corner." The two rays are referred to as the sides of an angle, and the common endpoint is referred to as the vertex. The angle in the plane does not need to be in Euclidean space. If the angles are formed by the intersection of two planes in Euclidean or another space, they are called dihedral angles. The angle is denoted by the symbol "L".

For similar questions refer-https://brainly.in/question/14589084

#SPJ1