Question

6) In a triangle ABC , LA is 10 more
than LB. Also Lc is three
trines LA - Esopress the equation
in terms of angle B.​

Answer 1

Answer:

Answer

CW

Oct 28, 2016

∠

A

=

32

∘

∠

B

=

96

∘

∠

C

=

52

∘

Explanation:

In a triangle, the three interior angles always add up to 180°:

Let

∠

A

=

x

⇒

∠

B

=

3

x

⇒

∠

C

=

x

+

20

∠

A

+

∠

B

+

∠

C

=

180

∘

⇒

x

+

3

x

+

x

+

20

=

180

⇒

5

x

+

20

=

180

⇒

5

x

=

160

x

=

32

Therefore,

∠

A

=

x

=

32

∘

∠

B

=

3

x

=

3

⋅

32

=

96

∘

∠

C

=

x

+

20

=

32

+

20