Question

find the values of x and y in each of the following diagrams:


need answers for all of them , will mark as brainlist. ​

Answer 1

Answer:

(i) x = 60

(ii) x = 55 , y = 70

(iii) x = 60 , y = 24

Step-by-step explanation:

(i) let A,B,C be the point of triangle

by vertical opposite angle ,

<BAC = <ACB = <ABC = x

In triangle ABC,

x + x + x = 180 (sum of all angle of triangle)

3x = 180

x = 60

(ii) let A,B,C be the point of triangle

x + 125 = 180

x = 55

In triangle ABC,

x + x + y = 180 (sum of all angle of triangle)

2x + y = 180

2× 55 + y = 180

y = 180 - 110

y = 70

(iii) let A,B,C be the point of triangle and D be the point between B and C

In triangle ADC,

50 + x + 70 = 180 (sum of all angle of triangle)

x = 60

<ADC + <ADB = 180

x + <ADB = 180

60 + <ADB = 180

< ADB = 120

In triangle ADB

y + 36 + <ADB = 180 (sum of all angle of triangle)

y + 36 + 120 = 180

y = 180 - 156

y = 24