Question

1. An angle of a triangle is 180°. This statement is true or false ?
2. If the angles of a triangle are in the ratio 1:2:3, then find the measure of all the three
angles.
3. The sum of first two angles of a triangle is 108º and the sum of the last two angles is
132º. Find the angles.
4. In AABC, if ZA-ZB= 15° and ZB-ZC= 15°, then find the value of ZA, ZB and ZC.
5. In a triangle, sum of two angles is 100° and their difference is 30°. Find all the angles.
6. Each angle of a triangle cannot be more than 60º. Justify the statement.
7. In a right-angled triangle, prove that the angle between the bisectors of acute angles is
of 1350​

Answer 1

Answer:

1.true

2. let angle be x

2x+3x+1x=180°

6x=180

x=30

1x=30

2x=60e

3x=90

5.let the angle be x and y

X+y=100

x-y=30

adding above 2 we get

2x=130

x=65

y=X+y=100

65+y=100

y=35

let 3rd be z

x+y+z=180

100+z=180

z=80