Question

use your knowledge of angle relationships solve for x in the diagram below Justify Your solution by naming the geometric relationship ​

Answer 1

Answer:

x = 5°

Step-by-step explanation:

5x + 21° + 20x + 34° = 180°

25x + 55° = 180°

25x = 180° - 55°

25x = 125°

x = 125°/25

x = 5°

Hope you got it dear !!!!

Answer 2

Geometric relationship is supplementary angles. Supplementary angles sum up to 180 degrees.

The value of x is 5.

• Using the geometric relationship between two angles in the image given, we can create an equation that will enable us solve to determine the value of x in the figure given.

Thus:

• $5x + 21^{\circ}$ and $20x + 34^{\circ}$ are angles on a straight line.

• The geometric relationship between them is:

$(5x + 21) + (20x + 34) = 180^{\circ}$  (angles on a straight line are supplementary)

• Solve for x

$5x + 21 + 20x + 34 = 180$

• Add like terms

$25x +55 = 180$

• Subtract 55 from each side

$25x = 180 - 55\\\\25x = 125$

• Divide both sides by 25

$x = 5$

• Therefore the geometric relationship between the angles is that they are supplementary. They equal 180 degrees.
• The value of x is 5

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