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50. If angles are complementary, what’s value of x?

50. If angles are complementary, what’s value of x?-example-1
User CAFxX
by
6.4k points

1 Answer

5 votes

Answer:

x = 14

Explanation:

For complementary angles, the sum of two angles is equal to 90 degrees.

We have,


m\angle ABC = 4x-10\\\\m\angle DBC = x+30

ATQ,


4x-10+x+30=90

Taking like terms together,

4x+x =90-30+10

5x = 70

x = 14

So, the value of x is 14.

User Bob Barcklay
by
6.6k points