Two angles of a quadrilateral measure 140° and 80°. The other two angles are in a ratio of 3:4. What is the value of x? What are the measures of those two angles?
x =
What are the measures of those two angles?

The measurements of the two angles are 60° and 80°.

Step-by-step explanation:

A quadrilateral is a shape that has four sides and the total angle is 360°. Two angles of a quadrilateral measure 140° and 80°.

This means the two angles have a total of (140° + 80°) = 220°. We can then subtract from 360° to know the value of the other remaining angles. This will be:

= 360° - 220°

= 140°

The other two angles are in the ratio of 3:4. This means the angles are:

(3/3+4) × 140° = 3/7 × 140° = 60°

(4/3+4) × 140° = 4/7 × 140° = 80°

The measurements of the two angles are 60° and 80°.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.