CHALLENGE -
1. If the angles of a quadrilateral are x°, (2x + 13)°, (3x + 10)°, (x-6)°, find x.
2. A camp ground site is in the shape of a convex quadrilateral. The sides of the camp ground form 2 right angles. The third interior angle measures 20° less than the fourth angle Find the measure of all interior and
Answers
Answer:
1 ) x = 49 degrees
Step-by-step explanation:
x + 3x +10 + 2x +13 + x - 6 = 360
✿Given :-
The angles of a quadrilateral are x°, (2x + 13)°, (3x + 10)°, (x-6). We need to Find the value of x
✿Let's Solve :-
x°+(2x+13)+(3x+10)+(x-6)= 360°
7x + 23 - 6 = 360°
7x + 17 = 360°
7x = 360° - 17
7x = 343°
Answer :- X = 49
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✿Answer 2 :-
Let the Measure Of The fourth Angle be x
Measure Of 3rd Angle is 20° less than the fourth angle which means x - 20°
Measure Of First Two Angle is 90° Each.
✿Let's Solve :-
x + (x-20) + 90°+90° = 360°
2x + 160° = 360°
2x = 360°-160°
2x = 200
✿First Angle = 90°
✿Second angle = 90°
✿Third Angle = (x-20) = 100-20
hence, 3rd angle = 80°
✿Fourth Angle = 100°
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