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3 years ago

Helppppppp circle theorems

Mathematics

1 answer:

kirza4 [7]3 years ago

8 0

Answer:

m=14°, n=28°

Step-by-step explanation:

Angles in a Circle

The central angle is formed between two radii and its vertex at the center of the circle.

An inscribed angle is formed between two chords whose vertex lies on the circumference of a circle.

The measure of the central angle a formed by the same lines that form an inscribed angle b is:

a = 2b

This means the angle of a = 98° is double of the inscribed angle of 35°+m:

98 = 2(35 + m)

Dividing by 2:

49 = 35 + m

Solving for m:

m = 49 - 35 = 14

m = 14°

Angles m and n are also formed by the same lines, and:

n = 2m

Thus:

n = 28°

Answer: m=14°, n=28°

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