The required measurement of the one third angle is 56°.
Given ,
The measurement of one angle of a right triangle is 34°.
We have to find,
The measurement of the one third angle.
According to the question,
It is a right triangle .
Then ,
In right triangle one angle is always 90° or right angle. The side opposite angle 90° is the hypotenuse.
The hypotenuse is always the longest side. The sum of the other two interior angles is equal to 90°.
So, the three angles will add up to 180 degrees.
Now,
It is a right triangle, one angle is 90 degrees and one third angle is 34°.
Sum of the all the interior angle in right triangle = 180°
90° + 34° + ∠c = 180°
114° + ∠c = 180°
∠c = 180° - 114° = 56°
Hence, The required measurement of the one third angle is 56°.
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