Question

The measures of two angles of a triangle are 100° and 40°.Find the measure of third angle. With step by step explanation

Answer 1

Answer:

Step-by-step explanation:

All the measures of a triangle is equal to 180 degree

So,100 degree + 40 degree + x degree(unknown third angle)=180 degree

140 degree + x degree=180 degree

So x degree=180 degree-140 degree

                    =40 degree

Therefor the measure of third angle is 40 degree

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Answer 2

To find : third angle of triangle .

Given : measure of two angles is $100$° and $40$° .

Solution :

• As per given data we know that measure of two angles is $100$° and $40$° , we have to find third angle of triangle .
• According to angle sum property of triangle sum of three angles of triangle is $180$°.
• Let missing angle be $x$ .
• Therefore , we have $100 + 40 + x = 180$
• Transposing constants to RHS leaving variable at LHS .

• $100 + 40 + x = 180$  

        $x =180 - 140 \\x = 40$

Hence, measure of third angle is $40$° .