Question

PLEASE TELL ME THE ANSWER​

Answer 1

Answer:

first answer is 75

second answer is 105

Answer 2

Answer:

i) X = 30 degree

Step-by-step explanation:

As you know, angle opposite to equal sides are equal,

So, angle C = 55 degree

and, by applying linear pair..

angle ADC = 105 degree

Now, we have two angles of triangle ADC.

By applying Angle sum property in triangle ADC

-> i.e. angle DAC + angle ADC + angle C

= 180 degree

x + 105 + 55 = 180 degree

therefore, x = 180 - 160

= 20 degree

ii) X = 40 degree

Step by step explaination :

As side BD = AD; angle BAD = 50 degree

By applying angle sum property in triangle BAD,

Angle ADB = 80 degrees

and, by applying linear pair, angle ADC = 100 degrees

Now, in Triangle ADC, side AD = DC

Therefore, Angle DAC = Angle ACD = x

by applying angle sum property in Triangle ADC

x + x + 100 = 180 degrees

2x = 80 degrees

x = 80/2

x = 40 degrees