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ICSE Class 8 Answered

In the triangle, sum of two angles is 90° which is the measure of the third angle. Also, the difference of these 2 angles is 10°, find the measure of these two unknown angles. 
Asked by Cl_narayan | 30 Jan, 2020, 10:36: AM
answered-by-expert Expert Answer
 
Let the 1st angle of a triangle = x 
then the second angle = 90° - x
 
According to the condition, we get
 
x - (90° - x) = 10
→ 2x - 90 = 10
→ 2x = 100
→   x = 50° and 90° - x = 90° - 50° = 40°
Therefore the measure of the two unknown angles are 50° and 40°.
Answered by Yasmeen Khan | 30 Jan, 2020, 11:35: AM

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