The angles of a triangle are described as follows: A is the largest angle; its measure is twice the measure of B. The measure of C is 2 less than half the measure of B. Find the measures of the three angles in degrees.

Well, just remember that the total is

180

∘

for any triangle, ever. So, what we can construct are some simple relationships:

∠

A

=

∠

A

(1)

2

∠

B

=

∠

A

→

∠

B

=

∠

A

2

(2)

∠

C

=

∠

B

2

−

2

∘

→

∠

C

=

∠

A

4

−

2

∘

(3)

So, we can add them up to write and determine

∠

A

(and thus the other two):

∠

A

+

∠

B

+

∠

C

=

180

∘

∠

A

+

∠

A

2

+

∠

A

4

−

2

∘

=

180

∘

∠

A

+

∠

A

2

+

∠

A

4

=

182

∘

4

∠

A

4

+

2

∠

A

4

+

∠

A

4

=

182

∘

4

∠

A

+

2

∠

A

+

∠

A

=

728

∘

7

∠

A

=

728

∘

∠

A

=

104

∘

And of course, just plug things back into (2) and (3) to finish things up.

∠

B

=

52

∘

∠

C

=

24

∘

We can then verify that we've matched the conditions given.

∠

A

is indeed twice

∠

B

.

∠

C

is indeed

2

∘

less than half of

∠

B

. Finally, you can easily convince yourself that the three angles add up to

180

∘

.

the least value out of the data shown is 5, maybe if you post a picture with it i could a little more.

step-by-step explanation:

i get you, what you should do is think of the positive things that would come out of it. it will make yours parents proud and raise your grade. you should always try and if you can't focus tell the teacher.