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itan1aB7urdell
itan1aB7urdell itan1aB7urdell
  • 05-09-2016
  • Mathematics
Answered

The measures of three angles of a quadrilateral are 80, 90, and 103 degrees. Find the measure of the fourth angle.

A67
B77
C87
D97

Verified Answer :

skyluke89
skyluke89 skyluke89
  • 14-11-2018

C) 87

Explanation:

the total sum of the internal angles of a quadrilateral is 360 degrees. Therefore, we must have:

\(a+b+c+d+=360\) (1)

In this problem, we know three of the angles:

\(a=90\\b=90\\c=103\)

so, we can re-arrange eq.(1) to solve for d, the missing angle:

\(d=360-a-b-c-=360-80-90-103=87\)


Answer Link
jamyawilliams12
jamyawilliams12 jamyawilliams12
  • 18-02-2021

Answer:

87

Step-by-step explanation:

Answer Link

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