Math, asked by ammu7476, 10 months ago

Can anyone pls help me in solving all these questions

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Answered by dheemanth41vbcih
1

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

Answered by Anonymous
2

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,

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