find x + y +z shown in the figure
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here is the step by step solution for your question
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Given - Right angled triangle
- ABC
To find - Value of X , Y ,Z
Solution -
Let the interior angle of y be q
We know that sum of all angles of a triangle = 180°
50° + 90 ° + q = 180°
140 ° + q = 180°
q = 180° - 140°
q = 40 °
Angle q + angle y = 180° ( forming linear pair)
40 + y = 180
y = 180 - 40
y = 140 °
angle X + 90° = 180° ( forming linear pair)
X = 180 - 90
X = 90°
angle Z + 50° = 180 ° ( forming linear pair)
Z = 180 - 50
Z = 130°
Hence , value of X = 90° , Y = 140° , Z = 130°
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