Question

Question is in pictures​

Answer 1

Answer:

145

Step-by-step explanation:

angle C =50

A+B+C=180

A+50+50=180

A=80

now,

C+2y=180

50+2y=180

2y=130

y=65

x+y=80+65=145

I HOPE THIS IS HELPFUL FRND...

Answer 2

$\bigstar$ Question:

• Find the Value of x + y

$\bigstar$Given:

• AB = AC
• BCD is a straight line.
• Ray CM is bisecting $\angle$ACD

$\bigstar$ Solution:

In $\triangle$ ABC,

$\because$ AB = AC,

$\therefore$ $\angle$ ABC = $\angle$ACB = 50°

(Angles opposite to equal sides of a triangle are equal)

$\because$ $\angle$ BAC + $\angle$ABC + $\angle$ACB = 180°

(Angle sum property of a Triangle)

$\implies$ x + 50° + 50° = 180°

$\implies$ x + 100° = 180°

$\implies$ x = 180° - 100°

$\implies$ x = 80°

$\because$ $\angle$ ACB + $\angle$ACM + $\angle$MCD = 180°

(Linear pair)

$\implies$ 50° + y + y = 180°

$\implies$ 2y = 180° - 50°

$\implies$ y = 130°/2

$\implies$ y = 65°

Now, x + y = 80° + 65°

(Substituting their values)

= 145°

$\bigstar$Answer:

• Therefore, x + y = 145°