Can anyone pls help me in solving all these questions
Answers
7) c=73
b=32
a=?
a+b+c =180 (angle sum property)
a+73+32=180
a+105=180
a=180-105
a=75
8)lets abc be triangle with exterior angle 110
b= 110 (corresponding angle)
let a and c be both x
as they have give that 2 angles are equal
a+b+c=180
110+2x=180
2x=70
x=70/2
x=35
a=c=35
9)no a triangle cannot have two obtuse angle nor it can have two acute angle , to be a triangle it should have one acute angle and one obtuse angle
10) yes a triangle can have all angles as 60 as the sum of all the algles should be 180 ( angle sum property)
60+60+60=180
11)given- q=1/3p = q=p/3
p-q=r
p +q+r=180(angle sum property)
p+q+p-q=180 ( as r =p-q
2p=180
p=180/2
p=90
p + q + r=180
90 +p/3+r=180
90+90/3+r=180
90+30+r=180
120+r=180
r= 180-120
r=60
p+q+r =180
90+60+q=180
150+q= 180
q=30
12)let the first angle be a
the second angle be b and third angle be c
it is given that b=2a and c= a-b
a+b+c=180
a+b+a-b=180
2a=180
a=90
Answer:
2) 60°
3) a + 65° = 110° .....remote exterior angle
a = 110 - 65
a = 45°
4) < A + <B + < C = 180°
105 + < C = 180°
<C = 180 - 105
< C = 75°
SIMILARLY, < B + < C + < A = 180
< A = 180 - 120 = 60°
< A + < B + < C = 180°
< B = 180 - ( 60 + 75) = 45°
5) as both the sides are congruent
Therefore, < B = 45°
6) not possible
as 180° is not equal to 130° + 50° + 40°
7) < A + < B + < C = 180°
< A + 32 + 73 = 180
< A= 75°
8) 55° , 55° and 70°
9) no,
as sum of angles of triangles should be 180°, but sum of two obtuse angles is more than 180°.
10) No,
as some of all angles less than 60° is not equal to 180°.
11) and 12) I don't know.
13) For 13th question's answer see in attachment.
14) it is incomplete question,
