Question

What is the measure of the angle indicated? * Captionless Image 120 degrees 155 degrees 85 degrees 60 degrees.

Answer 1

The angle made by a circle in one round is equal to the 360 degrees.

The angle of the unknown segment asked in the problem is equal to the 120 degrees.

How to calculate the angle of circle?

The angle made by a circle in one round is equal to the 360 degrees. To find the angle of the chord we need to follow some steps-

• Select the segment of chord, whose angle has to be measured.
• Place the base line of the protector on one of the line radius of the chord.
• Measure the angle on the protector between the two radius.

Given information-

The figure given in the figure is attached below.

In the given figure one angle is equal to 120 degrees and other angle is 155 degrees.

As the measure of all the angle of circle is equal to the 360 degrees. Thus the angle made by third segment is,

$\angle x=360-155-120\\\angle x=85^o$

Thus the angle of the third segment is 85 degrees.

The angle asked in the problem is middle segment whose resume is mention in the image which is equal to the 120 degrees.

Thus the angle of the unknown segment asked in the problem is equal to the 120 degrees.

Learn more about the angle of chord here;

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