Question

find the value of x​

Answer 1

Question :

Find the value of x

Answer :

(1) x = 70°

(2) x = 70°

Explanation :

(1) we know that sum of the angles of a triangle is 180°

Therefore,

x + 50 + 60 = 180

x + 110 = 180

x = 180 - 110

x = 70°

(2) We can do this question in two ways,

First, we use exterior angle property,

x = 30 + 40 = 70°

Second, we find the third angle of the triangle and then use linear pair,

Let the third angle be y

y + 30 + 40 = 180 (angle sum property)

y + 70 = 180

y = 180 - 70

y = 110°

x + y = 180° (linear pair)

x + 110 = 180

x = 180 - 110

x = 70°

Hope it helps..

Answer 2

Answer:

First and second both ans. will be 70.

Step-by-step explanation:

First figure

Let angle A=50°

angle B=60°

angle C=x°

We know that : sum of all angles of a triangle is 180°.

Now,

A+B+C=180°

Therefore,50°+60°+x°=180°

110°+x°=180°

x°=180°-110°

x°=70°

Second figure

We know that : sum of two apposite angle is equal to an apposite exterior angle.

Now,

30°+40°=x°

Therefore,x°=70°.

Hope this answer will help u !