196k views
3 votes
How do your solve this inscribed polygon problem?​

How do your solve this inscribed polygon problem?​-example-1
User Negro
by
8.5k points

1 Answer

0 votes

The sum of the opposite angles in a cyclic quadrilateral is
180^(\circ).

Therefore


6y+23+7x-3=180^(\circ)\\8y-5+7x-5=180^(\circ)\\\\6y+7x=160^(\circ)\\8y+7x=190^(\circ)

Subtracting the second equation from the first one, we get:


2y=30^(\circ)\\y=15^(\circ)


6\cdot15^(\circ)+7x=160^(\circ)\\90^(\circ)+7x=160^(\circ)\\7x=70^(\circ)\\x=10^(\circ)

User Lemieuxster
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories