Question

R

53°
1
2
T
S
47°
What are the measures of angles 1 and 2?
mz1 =
mz2 =

Answer 1

m∠1 = 50°

m∠2 = 130°

Explanation:

There is a formula:

`\text{angle} = (1)/(2) (\text{intercepted arc}_1 + \text{intercepted arc}_2)`

`\text{m} \angle 1 = (1)/(2) (53^\circ + 47^\circ)`

`\text{m} \angle 1 = (1)/(2) (100^\circ)`

`\text{m} \angle 1 = 50^\circ`

Angle 1 and angle 2 together form a straight angle, which measures 180°. Angle 1 and angle 2 are suplementary angles.

`\text{m} \angle 1 + \text{m} \angle 2 = 180^\circ`

`50^\circ + \text{m} \angle 2 = 180^\circ`

`\text{m} \angle 2 = 180^\circ - 50^\circ`

`\text{m} \angle 2 = 130^\circ`