Question

Find the measure of angle ABC

Answer 1

you will get x as 56 and angle ABC as 51°

Answer 2

In every triangle, the sum of the interior angles is 180°. The sum of the angles of this triangle is

`32+(2x-15)+(x-5) = 2x+x+32-15-5 = 3x+12`

and we want this sum to be 180, so we can write the following equation:

`3x+12 = 180`

subtract 12 from both sides:

`3x = 168`

divide both sides by 3:

`x = \cfrac{168}{3} = 56`

Now we can plug this value for x in the expressions for the two unknown angle to get their value:

`B = x-5 = 56-5 = 51,\quad C = 2x-15 = 2\cdot 56-15 = 112-15 = 97`