Question

Question is: Find the exterior angles marked on these triangles.

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Answer 1

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Answer 2

AnSwer -:


A -:The unknown exterior angle -: 102

degree.

B -: The unknown exterior angle -: 142

degree.

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Explanation-:

Angle sum property of triangle-:

LA + LB + LC = 180 degree

Sum of Linear pair of angles -:

180 degree

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Now ,

A -:

Applying angle sum property of

triangle-:

LA + LB + LC = 180 degree

LA = 61 degree

LB = 41 degree

LC = ??

61 + 41 + LC = 180 degree

102 + LC = 180 degree

LC = 180 - 102

LC = 78 degree

Then,

LC + a = 180 degree [ forming a linear

pair]

LC = 78 degree

A = ??

78 + a = 180 degree

A = 180 - 78

A = 102 degree

Therefore,

The unknown exterior angle -: 102

degree.

B -:


Applying angle sum property of

triangle-:

LA + LB + LC = 180 degree

LA = 18 degree

LB = 124 degree

LC = ??

Now ,

18 + 124 + LC = 180 degree

142 + LC = 180 degree

LC = 180 - 142

LC = 38 degree

Now ,

Then,

LC + b = 180 degree [ forming a linear

pair]

LC = 38 degree

A = ??

38 + a = 180 degree

A = 180 - 38

A = 142 degree

Therefore,

The unknown exterior angle -: 142

degree.

_______________________________



A -:The unknown exterior angle -: 102

degree.

B -: The unknown exterior angle -: 142

degree.

______________________________