2 years ago

What is the value of x

Mathematics

1 answer:

Inessa05 [86]2 years ago

8 0

Answer:

x = 25

Step-by-step explanation:

The measure of an inscribed angle in a circle is half the measure of the arc it subtends. The acute angles in a right triangle are complementary.

Inscribed angle CAD is half the measure of arc CD, so is 80°/2 = 40°.

Acute angle 2x° is the complement of angle CAD in the right triangle shown, so we have ...

2x° = 90° -40° = 50°

x = 25 . . . . . . . . . . . . divide by 2°

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