Question

find the adjacany figure find the values of x

Answer 1

ans.11.
$x + 28 = 180 \\ x = 180 - 28 \\ x = 152$

Answer 2

the answer of question number 11 is a follow

here as you can see 20 and X will make together 180 degree

so here we can write

20 + x = 180
therefore, x = 160

similarly,

why and 20 are making sem 180 degree

so again we can apply same concept is applied earlier,

therefore,
y + 20 = 180
y = 160

you can also find value of Y directly by using theorem of opposite angle ,

so, from that we can directly conclude our answer that is Y is equal to 160 very easy

now get on of answer of your question number 12 ,

here also you can apply same concept of opposite angle and making 180 degree together

as you can see angle A R B and prq are making opposite angle therefore your value of angle prq and angle ARB will be same and here value of ARB is already provided that is 62 degree so your answer for angle of PRQ will be 62 degree


now for value of angle prq as you can see angle prq and prq making together 180 degree so ,if you consider value of p r q is X then we can write


X + 62 = 180
therefore, X = 180 - 62 = 118 degree


thus your answer of your question is completed here ,hope this will help you and thank you for your question and also I am waiting for your next question and of course happy to help you, because it not only enhance your knowledge but also ours, thank you very much!