Question

find the value of x​

Answer 1

Answer:

Step-by-step explanation:

∠ABC+∠BCA+∠CAB=180 .......TRIANGLE LAW ADDITION....[EQUATION 1]

∠B=100

BUT

∠B+∠ABC=180 .....SUPPLEMENTARY ANGLES

100+∠ABC=180

∠ABC=180-100=70

∠ABC=70.....[EQUATION 2]

∠C+∠BCA=180.......SUPPLEMENTARY ANGLES

115+∠BCA=180

∠BCA=180-115= 65.....[EQUATON 3]

FROM EQUATION 1 ,2 AND 3

∠ABC+∠BCA+∠CAB=180

70+65+X=180

X=180-70-65=45

THE VALUE OF X IS 45

HOPE IT HELPS

Answer 2

I am providing an attachment you can take help from it and the other way to solve it is

Exterior angle B = 100

We know that sum of two interior angle of a triangle is equal to the exterior angle so

interior angle A + interior angle C = exterior angle B

angle C

= 180-exterior angle C

= 180-115 = 65 degree

(supplementary angles)

angle A = 100- 65 = 35 degree