Question

find the sum of a + b + c + d in the following figure​

Answer 1

Answer:

360

Step-by-step explanation:

Method 1

First we will find the measure of opposite angle of D

we know that the measure of all angles of quadrilateral is 360°

Let the name of angle opposite to D be X

X= 360-(70+95+110)

x=360-(275)

x= 85

So, x =85°

Now, for finding exterior angles of each, we have to Substract them with 180°

a= 180-70=110

b= 180-95= 85

c= ,180-110=70

d= 180-85 = 95

a+b+c+d = 110+85+70+95 = 360

Method 2

We know that the sum of exterior is 360°

So that we can say that a+b+c+d = 360°