Maths-

General

Easy

Question

# x and y are complementary angles and y and z are

supplementary angles. Find the value of z if m∠x = 43° .

Hint:

### Use the property of complementary angles and supplementary angles.

## The correct answer is: Hence the value of ∠z=133°.

### Complete step by step solution:

When the sum of two angles is equal to 90° , then they are called complementary

angles.

When the sum of two angles is equal to 180° , then they are called supplimentary

angles.

Here,

...

On substituting the value of in (i), we get

On substituting the value of in (ii), we get

Hence the value of .

On substituting the value of in (i), we get

On substituting the value of in (ii), we get

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