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36 votes
36 votes
⚠PLEASE HELP!!!⚠

The diagram shows a quadrilateral inscribed in a circle with angles y and 4y. solve for y.

⚠PLEASE HELP!!!⚠ The diagram shows a quadrilateral inscribed in a circle with angles-example-1
User Casillic
by
3.0k points

1 Answer

12 votes
12 votes

Answer:

Explanation:

Remark

A cyclic quadrilateral have 4 angles that touch the circumference of the circle that contain the 4 angles.

A cyclic quadrilateral has 2 pairs of angles; each pair contrains 2 angles that are supplementary. This is the property that you need.

Given

y and 4y are supplementry. They are opposite one another.

Solution

y + 4y = 180 combine

5y = 180 Divide both sides by 5

5y/5 = 180/5

y = 36

Answer: y = 36

User Baskin
by
2.7k points
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