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

Answer:
x = 13
39° and 51°
Step-by-step 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:
[tex]x = 13 \\ [/tex]
Measure of the angles
[tex]39 \: \: degrees \\ 51 \: \: degrees[/tex]
Step-by-step explanation:
sum of the interior angles in a triangle= 180°
[tex]3x + 4x - 1 + 90 =1 80 \\ 7x + 89 =1 80 \\ 7x = 180 - 89 \\ 7x =9 1 \\ \frac{7x}{7} = \frac{91}{7} \\ x = 13[/tex]
x = 13,
now lets work out for the angles
[tex]3x \\ 3 \times 13 \\ = 39[/tex]
[tex]4x - 1 \\ 4 \times 13 - 1 \\ 52 - 1 \\ = 51[/tex]