Question

an triangle has a angle of 75 degrees, x and y are the missing angles but x is twice y, what are the possibilities of x and y?

Answer 1

x = 70°

y = 35°

Explanation:

Given one angle of a triangle is 75° and the other two are 'x' and 'y', you want to find the possible values of 'x' and 'y' when x = 2y.

Setup

The angle sum theorem and the given relation give rise to two equations:

75 +x +y = 180

x = 2y

Solution

Using the second equation to substitute for x in the first equation, we have ...

75 +(2y) +y = 180

3y = 105 . . . . . . . . . subtract 75 and simplify

y = 105/3 = 35

x = 2y = 2(35) = 70

The measures of angles x and y are 70° and 35°, respectively.