Question

two angle of a triangle are equal and third angle measure 80.the measure of each of the equal angle is

Answer 1

Answer: 50°

Step-by-step explanation:

let the equal angle be the measure x

and we know that sum of all angles in a triangle is 180

we get

x + x + 80 = 180

2x + 80 = 180

2x = 180 - 80

2x = 100

x = 100/2

x = 50

the measure of each equal angle is 50°

Answer 2

Answer :-

The angles measure 50°

Explaination :-

Given :-

Two angles are equal in a triangle.

One Angle measures 80

To find :-

The measures of all angles.

Solution :-

As we know, sum of all angles in a triangle make 180°

So, consider the same angles as x

$\tt{\Rightarrow \: x + x + 80 = 180}$

$\tt{\Rightarrow2x+ 80 = 180 }$

$\tt{\Rightarrow2x=180 - 80 }$

$\tt{\Rightarrow2x = 100}$

$\tt{\Rightarrow \: x=\dfrac{100}{2} }$

$\tt{\Rightarrow \: x = 50}$

$\therefore$The same angles in the triangle measure 50°.

Verification :-

$\tt{\Rightarrow50 + 50 + 80 = 180}$

$\tt{\Rightarrow100 + 80 = 180}$

$\tt{\Rightarrow180 = 180}$

$\therefore$LHS = RHS

$\therefore$The angles measure 50°