Question

Marks
Q 22.
In the following figure, the side BC of A ABC is
extended up to the point D.
If _ A = 55° and 2 B = 60°, then the measure of
ZACD is
​

Answer 1

Step-by-step explanation:

it is give that :

A = 55° and. B = 60 ° and. sum of the triangle is 180 °

angle ACD = Y

[so, A+ B +angle BCA( X) = 180 °

55° + 60° + BCA(X )= 180°

angle BCA(X)+ 115° = 180°

so, angle BCA(X) = 180° - 115

so, angleBCA (X )= 65° ]

then, sum of linear pair angle is 180°

(because angle BCA and angle ACD are linear pair angle )

so, angle BCA + angle ACD (Y)= 180°

therefore , 65° + Y = 180°

angle ACD(Y) = 180° - 65°

so angle ACD = 115° . ans