Math, asked by sanofarabdul011001, 6 months ago

measure of angle abc​

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Answers

Answered by AjayaBehera
2

Step-by-step explanation:

Given that,

In triangle ABC,m<A= 40°

Exterior angle at C = 100°

We know that,

Exterior angle of the triangle =Sum of its two opposite interior angle.

=>100°=m<A+m<B

=>100°-40°=m<B

=>m<B= 60°

Sum of angles of a triangle = 180°

=>m<A+m<B+m<C= 180°

=>100°+m<C=180°

=>m<C=180°-100°=80°

The 3 angles are 60°,40°& 80°

(Ans)

Answered by Anonymous
4

ANSWER:

/ ABC = 60°

Option (A) is the correct

(A) 60° ✔️

SOLUTION:

Given :

Find the measure of / ABC

To find the measure of / ABC

first we will find / ACB

/ BCA + 100° = 180°

(linear pair)

/ BCA = 180° - 100°

/ BCA = 80°

Now let's find the measure of / ABC

So , 40° + 80° + / ABC = 180°

(Angle sum property)

/ ABC = 180° - 120°

/ ABC = 60°

_____________________

Now let's verify our answer

/ ABC + / BCA + / CAB = 180°

RHS = 180°

Solving LHS

60° + 80° + 40°

180°

LHS = 180°

So, LHS = RHS

Hence , verified

___________________

Final answer :

/ ABC = 60°

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