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In the figure above, what is the degree measure of angle A?
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08 Feb 2021, 07:00
08 Feb 2021, 07:00
Expert Reply
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Question Stats:
94% (00:56) correct
5% (01:37) wrong based on 18 sessions
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In the figure above, what is the degree measure of angle A?
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54
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Re: In the figure above, what is the degree measure of angle A?
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12 Feb 2021, 12:26
12 Feb 2021, 12:26
I am sorry, but I am currently not allowed to post any picture here!
So Let me try,
Let the top Angle in the Lower triangle be x
132 = 95 + x ..... (Exterior angle is equal to the sum of it's opposite interior angles)
x = 37
Now, In the Upper triangle, lower angle would also equal 37 (Vertically opposite angles are equal)
Then, 37 + 89 + A = 180 (Sum of angles in a triangle is 180)
A = 54
So Let me try,
Let the top Angle in the Lower triangle be x
132 = 95 + x ..... (Exterior angle is equal to the sum of it's opposite interior angles)
x = 37
Now, In the Upper triangle, lower angle would also equal 37 (Vertically opposite angles are equal)
Then, 37 + 89 + A = 180 (Sum of angles in a triangle is 180)
A = 54
Re: In the figure above, what is the degree measure of angle A?
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12 Feb 2021, 16:55
12 Feb 2021, 16:55
1
First, we calculate the Complementary angle of 132, which is 48.
Than remaining angle of lower triangle is 180 - 48 -95 = 37.
Now, In higher trangle A = 180 - 37 (Vertically opposite angle from lower triangle) - 89 = 54
Than remaining angle of lower triangle is 180 - 48 -95 = 37.
Now, In higher trangle A = 180 - 37 (Vertically opposite angle from lower triangle) - 89 = 54
