∠A and angle∠B are vertical angles. If angle ∠A=(3x−8) and angle ∠B=(4x−17) then find the value of x.

Mathematics

2 answers:

Ierofanga [76]3 years ago

8 0

9514 1404 393

Answer:

x = 9

Step-by-step explanation:

Vertical angles are congruent, so ...

∠B = ∠A

4x -17 = 3x -8

x = 9 . . . . . . . . . . . add 17-3x to both sides

egoroff_w [7]3 years ago

5 0

x = 9

Step-by-step explanation:

In the question we have given that ∠A and angle∠B are vertical angles. And the value of angle ∠A = ( 3 x - 8 ) and angle ∠B = ( 4 x - 17 ).

Finding the value of x

∠B = ∠A. (Both are vertical angle so, both are equal to each other).

Substitute the values

4 x - 17 = 3 x - 8

Add 17 - 3 x to each side

4 x - 17 + 17 - 3 x = 3 x - 8 + 17 - 3 x

combine like terms

4 x + 0 - 3 x = 3 x - 3 x - 8 + 17

x = 0 + 9

x = 9

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