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the measures of two angles are (6x+20) and (8x+15) what is the value of x if this angles are congruent?

A12.5
B.40
C2.5
D10.5
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The value of x if this angles are congruent is;

Option C; 2.5

  • In geometry, when we say two angles are congruent, it means that they are equal angles.

Thus, if we have two angles say A and B and they are congruent, we will express it as;

A ≅ B

Thus; A = B

  • We are given two angles;

6x + 20 and 8x + 15.

Since they are congruent, then;

6x + 20 = 8x + 15

  • Rearranging to get like terms gives;

8x - 6x = 20 - 15

2x = 5

x = 5/2

x = 2.5

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