Question

An isosceles triangle has 2 angles that measure 37 degrees each. Write 2 different equations that could be solved to find the measure of the 3rd

Answer 1

Answer:

The third angle of isosceles triangle is 106°   .

Step-by-step explanation:

Given as :

The measures of equal angles of isosceles triangle = 37°

i.e $\Theta _1$ =  $\Theta _2$ = 37°

Let The third angle of isosceles triangle =  $\Theta _3$

Now,

An isosceles triangle is that whose opposite sides are equal and two angles are equal

Now, From the property of Triangle

The sum of all three angles of Triangle = 180°

i.e  $\Theta _1$ +  $\Theta _2$ +  $\Theta _3$ = 180°

∵  $\Theta _1$ =  $\Theta _2$ = 37° (given)

So,  37° +  37° +  $\Theta _3$ = 180°

Or, 74° +  $\Theta _3$ = 180°

Or,  $\Theta _3$ = 180° - 74°

∴  $\Theta _3$ = 106°

So, The third angle of isosceles triangle =  $\Theta _3$ = 106°

Hence,The third angle of isosceles triangle is 106°   . Answer