Question

Find the values of the variables and the measures of the angles

Answer 1

x = 13

39° and 51°

Explanation:

Angles in a triangle add up to 180 degrees.

This is a right angle triangle, so one side has a size of 90 degrees.

3x + 4x - 1 + 90 = 180

7x + 89 = 180

7x = 91

x = 91/7

x = 13

Put x as 13 to work out the size of the angles.

3(13) = 39

4(13) - 1

52 - 1 = 51

Answer 2

`x = 13 \\`

Measure of the angles

`39 \: \: degrees \\ 51 \: \: degrees`

Explanation:

sum of the interior angles in a triangle= 180°

`3x + 4x - 1 + 90 =1 80 \\ 7x + 89 =1 80 \\ 7x = 180 - 89 \\ 7x =9 1 \\ (7x)/(7) = (91)/(7) \\ x = 13`

x = 13,

now lets work out for the angles

`3x \\ 3 * 13 \\ = 39`

`4x - 1 \\ 4 * 13 - 1 \\ 52 - 1 \\ = 51`