Question

Please can you help me

Answer 1

x=58°

Explanation:

The sum of the interior angles of a rhombus is 360 degrees. Therefore, if angle A of a rhombus is 122 degrees, then the opposite angle (angle C) is also 122 degrees. The adjacent angles (angle B and angle D) are supplementary to angle A and angle C, meaning that they add up to 180 degrees. So, angle B and angle D are each 180 - 122 = 58 degrees. To summarize, the angles of the rhombus are:

• Angle A = 122 degrees
• Angle x = 58 degrees
• Angle a' = 122 degrees
• Angle x' = 58 degrees

Answer 2

Explanation:

This is a parallelogram. It's a quadrilateral. All quadrilaterals interior (inside) angles add up to 360 degrees.

Because it's a parallelogram, we know that the opposite angles are equal.

So x is equal to that angle in the opposite corner (diagonal), and 122 is the measure of the other opposite corner angle, too.

So add up those angles:

x + x + 122 + 122 = 360

Combine like terms

2x + 244 = 360

Solve for x

2x = 116

x = 58

Double check that it's correct:

58+58+122+122 = 360.