Question

Which expression gives the measure of ABC?

A. 1/2(110° + 20°)
B. 1/2(110 -20°)
C. 110° - 20°
D. 110° + 20°

Answer 1

A

Explanation:

The chord- chord angle ABC is half the sum of the arcs intercepted by the angle and its vertical angle, that is

∠ ABC =
`(1)/(2)` (110 + 20)° → A

= 0.5 × 130°

= 65°

Answer 2

A. 1/2(110° + 20°)

Explanation:

`\huge \orange{m\angle ABC} \pink{ = } \purple{(1)/(2) (110 \degree + 20 \degree)}`