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if angle a and angle b are vertical angles and if a=2x+30 and b=3x+5 find the value of x

Sagot :

Always remember that vertical angles are congruent. 

∡a = 2x + 30
∡b = 3x + 5

2x + 30 = 3x + 5
   30 - 5 = 3x - 2x
        25 = x

Therefore, the value of x is 25.

Substitute to check...
2(25) + 30 = 3(25) + 5
    50 + 30 = 75 + 5
            80 = 80

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