Question

Please give step by step explaintion for this question. If you don't know don't give answer​

Answer 1

Answer:

angle a+ angle b= angle C {alternate angles}

angle a+ angle b= angle C {alternate angles}angle a + angle b= 57°

angle a= C/3 - GIVEN

c/3 + angle b= 57°

c/3 + angle b= 57°57/3 + angle b= 57°

c/3 + angle b= 57°57/3 + angle b= 57°angle b= 57- 57/3

c/3 + angle b= 57°57/3 + angle b= 57°angle b= 57- 57/3angle b= 57 - 19= 38°

angle b+ angle d= 180° {linear pair}

angle d= 180 - 38= 142°

Answer 2

Answer:

Your answer is 142

Step-by-step explanation:

• Given that PQ, RS, UT are parallel
• C = 57
• a = c/3 it means 57/3 = 19
• a + b = 180 ( linear pair)
• 19 + b = 180 , b = 161
• Now b + d = a ( by external angle theorem )
• we have b = 161 + d = 19
• Now d = 161 - 19 = 142
• The value of d is 142

Note : The external angle theorem says that the sum of two internal angles is equal to the sum of the external angle