Question

4. Find the measure of an angle which is 2/3 of its supplement.
in my text book the answer is 89° so please answer according to it

if anyone will answer it correct l will mark it the brainliest answer​

Answer 1

Step-by-step explanation:

Two angles which have a common vertex, a common arm and separate interiors are said to be adjacent angles

(i)

In ∠PMQ and ∠RMQ, M is the common vertex and MQ is the common arm.

Therefore, ∠PMQ and ∠RMQ are adjacent angles.

(ii)

The angles ∠RMQ and ∠SMR have a common vertex M, but don't have common arm.

Therefore, ∠RMQ and ∠SMR are not adjacent angles.

(iii)

The angles ∠RMS and ∠RMT have a common vertex M, but don't have common arm.

Therefore, ∠RMS and ∠RMT are not adjacent angles.

(iv)

In ∠SMT and ∠RMS, M is the common vertex and SM is the common arm.

Therefore, ∠SMT and ∠RMS are adjacent angles.