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one angle of a triangle is 1/3 of a right angle and the greater of the other two exceeds the lesser by 80degree find all the angles

User VKD
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1 Answer

4 votes

Hi there!


The angle that is 1/3 of a right angle is 30°, because a right angle is 90°.

90 ÷ 3 = 30


The greater angle exceeds (is greater than) the lesser angle by 80°, which is 30°, so that means it must be 110°.

30 + 80 = 110


All interior angles of a triangle add up to 180°, so that means the last angle must be 40°, because we already have 140°.

30 + 110 = 140

180 - 140 = 40


Angles of the triangle: 30°, 40°, 110°


Hope this helps!

User Shishir Pandey
by
5.4k points
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