Mathematics: What is the measure of arc EG?

42 (the answer to life the universe and everything)Step-by-step explanation: do more of what makes you happy 3 and be positive!...

What is the measure of arc EG? - id5492576, angelb2472

QueenNerdy889

21.01.2022

The measure of arc EG = 16°.

Solution:

Given data:

m∠X = 47° and m(ar FH = 110°)

To find the measure of arc EG:

We know that,

Angle formed by two intersecting secants outside the circle is equal to half of the difference between the intercepted arcs.

$$m \angle X=\frac{1}{2}({arc} \ FH-{arc} \ EG)$

$$47^{\circ}=\frac{1}{2}\left(110^\circ- {arc} \ EG}\right)$

Multiply by 2 on both sides.

94° = 110° - arc EG

Subtract 110° from both sides.

-16° = -arc EG

Multiply -1 on both sides, we get

16° = arc EG

Switch the sides.

arc EG = 16°

The measure of arc EG = 16°.

0,0(0 оценок)