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What is the measure of x? 37° 67° 97° 107°

What is the measure of x? 37° 67° 97° 107°-example-1
User Suselrd
by
5.7k points

2 Answers

5 votes

Answer:

Value of x = 97 degrees

Explanation:

In the given quadrilateral

One angle = 83

2 other angles = 90 degrees each

Sum of all the four angles in a quadrilateral = 360 (Angle Sum Property of quadrilaterals)

=>90+90+x+83= 360

=>180+83+x = 360

=> 263+x= 360

=>x= 360-263

=>x=97

User Michaelslater
by
6.0k points
3 votes

Answer:

97°

Explanation:

The angles of any quadrilateral will add up to 360°. Since we already know 3 out of the 4 angles (the bottom two are both 90°), we can easily find the measure of x.


90 + 90 + 83 +x = 360


263 + x = 360\\\\x = 97

Hope this helped!

User Vlin
by
6.0k points