Given: measure of angle kj = 124°, measure of ic =38°

find: m∠cqj, m∠lij.

Part 1)

Part 2)

Step-by-step explanation:

Part 1) Find the measure of angle CQJ

we know that

The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite.

substitute the values

Part 2) Find the measure of angle LIJ

step 1

Find the measure of angle IJL

we know that

The inscribed angle is half that of the arc it comprises.

substitute the values

step 2

Find the measure of angle ILJ

we know that

The measurement of the external angle is the semi-difference of the arcs it encompasses.

substitute the values

step 3

Find the measure of angle LIJ

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

In the triangle LIJ

substitute the values

m∠a is 90°

m∠b is 40°

step-by-step explanation:

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