Question

In the adjoining diagram,ABC is a straight line, 1. If x= 45° ,z = 70°, find y. 2. If x= 35°,y = 2x , find z. 3.If x:y:z = 3:5:7 ,find x.

Answer 1

1. x=45°
y=?
z=70°
x+y+z=180°( Sum of three angle is 180°)
45 + ? +70=180°
115+?=180°
y= 180° - 115°
y = 65°
.
2. x = 35°
y = 2x ( 2*35=70°) because x = 35
z = ?
x+y+z =180°
35 + 70 + z =180°
105+z=180
z=180-105
z= 75°
.
3. let 3 be 3x
5 be 5x
7 be 7x
3x + 5x + 7x =180
15x = 180
x = 180/15
x= 12
.
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Answer 2

In the adjoining diagram

In the adjoining diagram AOB is a straight line

In the adjoining diagram AOB is a straight lineI HOPE DO YOU UNDERSTAND MY SOLUTION