A field is in the shape of a hexagon. Three of its interior angles are right angles and the other three are congruent find the measure of each congruent angle.
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Answered by
5
ANSWER;
PQRST is a pentagon.
Sum of all angle of any polygon is (n−2)180
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Where n= number of sides of Polygon
Sum of all angle of pentagon is 540
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degree
Here, ∠P=∠Q=∠S=90
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[ Given ]
⇒ Let ∠T=∠R=x [ Since both angles are congruent ]
⇒ ∠P+∠Q+∠R+∠S+∠T=540
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⇒ 90
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+90
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+x+90
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+x=540
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⇒ 270
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+2x=540
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.
⇒ 2x=270
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⇒ x=135
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∴ ∠T=∠R=135
o
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Answered by
9
Answer:
Step-by-step explanation:
the sum of interior angles of hexagon is 720 degrees
3 angles are given of 90 degree each=90*3=270 degree
then 720-270=450 degree
which means that the sum of 3 congruent angles is 450 degree
so measure of 1 congruent angle=450/3=150 degree
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