if angle a =30° b = 70° then exterior angle formed by producing bc is equal to
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Given:
- ∠a = 30°
- ∠b = 70°
To Find:
- The value of exterior angle formed by producing bc.
Solution:
The exterior angle formed by producing bc is ∠c.
We should find the value of ∠c.
We know that,
∠a+∠b+∠c = 180° → equation 1 { exterior angle property of triangles}
Substitute the values from the given data in equation 1. we get,
⇒ 30°+70°+∠c = 180° { adding the terms in LHS}
⇒ ∠c = 180° - 100° { shifting the terms from LHS to RHS and subtracting the same}
⇒ ∠c = 80°
∴ The value of exterior angle formed by producing bc = 80°
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