IDNLearn.com: Where questions are met with accurate and insightful answers. Discover in-depth and reliable answers to all your questions from our knowledgeable community members who are always ready to assist.

Please help!! "Quadrilateral ABCD is inscribed in the circle below. Find the measure of all four angles."~!!!!!

Please Help Quadrilateral ABCD Is Inscribed In The Circle Below Find The Measure Of All Four Angles class=

Sagot :

For a cyclic quadrilateral
The opposite angles are supplementary (meaning they sum up to 180 °)
I.e (x +20) ° + 3x ° =180 °
20 + 4x = 180
4x=180 - 20
4x = 160
Divide through by 4
x = 40 °

Angle at point A
(2x + 38) = (2(40) + 38) = 118 °

Angle at point B
3x = 3(40) = 120 °

Angle at point D
x + 20 = 40 + 20 = 60 °

Angle at point C
The total angle in a quadrilateral is 360 °
I.e 118 + 120 + 298 +