Answered

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The angle measurements in the diagram are represented by the following expressions.
B
А
Solve for x and then find the measure of

Sagot :

MrRoyal

Answer:

[tex]x = 20^{\circ}[/tex]

[tex]\angle A = 150^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle A = 8x - 10[/tex]

[tex]\angle B = 3x + 90[/tex]

See attachment

From the attachment A and B are vertically opposite.

This implies that:

[tex]\angle A = \angle B[/tex]

Substitute values for A and B

[tex]8x - 10 = 3x + 90[/tex]

Collect Like Terms

[tex]8x - 3x = 10 + 90[/tex]

[tex]5x = 100[/tex]

Solve for x

[tex]x = \frac{100}{5}[/tex]

[tex]x = 20^{\circ}[/tex]

Substitute 20 for x in [tex]\angle A = 8x - 10[/tex]

[tex]\angle A = 8 * 20 - 10[/tex]

[tex]\angle A = 150^{\circ}[/tex]

View image MrRoyal
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