Question

Mathes question about this ​

Answer 1

Answer:

$x = 95 \: degree \: \: \: \: \: and \: \: \: \: \: \: \: \: y = 40 \: degree.$

Step-by-step explanation:

$x + 85 = 180 \: \: \: \: linear \: pair. \\ \\ x = 180 - 85 = 95 \: degree. \\ \\ x + y = 135 \\ exterior \: angle \: sum \: property\\ y = 135 - 95 \\ \\ y = 40 \: degree. \\ \\ \\ \\ \\ x = 95 \: degree \: \: \: \: \: and \: \: \: \: \: \: \: \: y = 40 \: degree.$

Answer 2

Answer:

x = 95

y = 40

Step-by-step explanation:

we know that sum of supplementary angles is 180

angle PRS + angle PRT = 180

angle PRS + 135 = 180

angle PRS = 180 - 135

= 45

similarly,

angle PSQ + angle PSR = 180

85 + x =180

x = 180-85

x= 95

we know, sum of angles in a triangle is 180

x + y + angle PRS = 180

95+ y +45 = 180

y = 180 - 140

y = 40