Question

Find x in each of the following​

Answer 1

Answer:

here,

the sum of triangle of angles is 180°.

so,

75 + 40 + x = 180.

x = 180 - 115.

x. = 65.

so the value of x is 65°.

Answer 2

Given

∠ABC=40°

∠BAC=75°

∠ACB=x

To Find

value of x (∠ACB)

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

Property :In a triangle the sum of all Interior angles is equal to 180°.

Explanation: Let's suppose there are three angles say ∠P,∠Q& ∠R of a triangle∆PQR ,then the sum of all angles :∠P+∠Q+∠R must be equal to 180°

=>∠P+∠Q+∠R=180°

Come to the Question

from above figure,In ∆ABC

∠ABC+∠BAC+∠ACB=180°(angle sum property)

=>40°+75°+x=180°

=>115°+x=180°

=>x=180°-115°

=>x=65°

x=65°

Check

∠ABC+∠BAC+∠ACB=180°

=>40°+75°+65°=180°