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

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 and

Step 2:

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

So x = 13°. The angles are

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

Step-by-step explanation:

3x + 4x - 1 = 90⁰

7x = 91

x = 13

Angles are = 39 , 51⁰

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet