If two angles of triangle are 30o and 40o then find the measure of the third angle of the triangle.
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Given:
Two angles of a triangle are 30 °and 40° respectively.
To Find:
Measure of third angle
Solution:
Here in the question we are given two angles of the triangle. Let the third angle of traingle be x. We know that sum of all angles of triangle is 180°. Then, Using angle sum property we will find the Third angle of the triangle.
Let the third angle be x°
According to the Question :
⟹ Angle Sum Property of Triangle = 180°
⟹ 30° + 40° + x = 180
⟹ 70° + x = 180°
⟹ x = 180° - 70°
⟹ x = 110°
Verification:
⟹ Angle Sum Property of Triangle = 180°
⟹ 30° + 40° + 110° = 180°
⟹ 70° + 110° = 180°
⟹ 180° = 180°
Hence, Verified
Therefore :
Third angle of Triangle is 110°.
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