What is the value of x A)
B)
C)
D)

124°

Step-by-step explanation:

Step 1:

72° + 52° = x       Remote Interior ∠'s

Step 2:

124° = x       Add

x = 124°

Hope This Helps :)

D) 124°

Step-by-step explanation:

Use the "Exterior Angle Theorem". The Exterior Angle Theorem states that the exterior angle's measurement is the sum of the two opposite interior angle's measurements.

In this case, it is given to you that the opposite angle's measurements are 72 and 52 degrees respectively. To solve, combine the two angles:

m∠x = 72 + 52

m∠x = 124°

m∠x = 124°, or D) 124° is your answer.

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Below in bold.

Step-by-step explanation:

Let x be George's age and y be Genemy's age.

x/y = 5/7

(x + 4)/ (y + 4) = 3/4

From equation 1, y = 7x/5 = 1.4x so substituting in equation 2 :

(x + 4)/ (1.4x + 4) = 3/4

3(1.4x + 4) = 4(x + 4)

4.2x + 12 = 4x + 16

0.2x = 16 -12 = 4

x = 4/0.2 = 20 = George's age.

So y = 1.4x = 1.4 * 20 = 28 = Genemy's age.