Question

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

Answer 1

The angles of the triangle are 39°, 51°, and 90°.

Step-by-step explanation:

Step 1:

The sum of all the angles in any triangle is equal to 180°.

We have two of the three angles in terms of x while the third angle is not given directly. Since it is a right-angled triangle, one of the angles equals 90°.

So the angles of the triangle are $3x,$ $4x-1,$ and $90.$

Step 2:

Now, we substitute all the angles to a sum of 180 to determine the value of x.

$3x + 4x - 1 + 90 = 180.$

$7x = 91, x = \frac{91}{7} = 13.$

So x = 13°. The angles are

$3x = 3 (13) = 39, 4x-1 = 4(13) - 1 = 51.$

The angles of the triangle are 39°, 51°, and 90°.

Answer 2

Step-by-step explanation:

3x + 4x - 1 = 90⁰

7x = 91

x = 13

Angles are = 39 , 51⁰