Question

Please solve these with process ​

Answer 1

Answer:

In the given figure

angle SMR+angle PMS=180(angles in a straight line)

80+angle PMS=180

angle PMS=180-80

angle PMS=100

angle SPT=45(diagonal of a square are equal and bisect each other and are opposite and equal)

Now,

In triangle SPM

angle S+angle P+angle M=180(Sum of angles in a triangle=180)

angle S+45+100=180

angle S+145=180

angle S=180-145

angle S=35

Angle PST=35 answer

angle SMR=TMP(vertically opposite angles)

angle TMP=80

angle TPM=45(diagonal of a square are equal and bisect each other and are opposite and equal)

Now,

In Triangle PMT

angle P+angle M+angle T=180

45+80+angle T=180

125+angle T=180

angle T=180-125

angle T=55

angle T+angle STQ=180(angles in a straight line)

55+angle STQ=180

angle STQ=180-55

angle STQ=125