Question

9. In the figure, the larger angle is 50º more than the smaller angle.
a) What is the sum of both angles?
b) Compute the measures of each angle
please give me the correct answers ​

Answer 1

Answer:

a)_180

b) 2nd angle is 130

Answer 2

a) sum of both the angles- 180° , since it's a linear pair.

b) measure of each angle-

let the smaller angle (RSQ) be x.

and let the larger angle (RSP) be y.

so according to question-

angle x +50° = angle y

therefore x +50° = y ----(1)

also, x + y = 108° ----(2)

from (1) -

x = y-50°

(putting this value in eq. 2) :-

(y -50°) + y = 180°

=> 2y = 180°-50°

=> 2y = 130°

=> y = 65°

now x = y - 50°

=> x = 65°-50°

=> x = 15°