Answer:
The remaining interior angles of this triangle are 140º and 10º
Step-by-step explanation:
The sum of the interior angles of a triangle is always 180º.
A triangle has 3 angles. In this problem, we have one of them, that i am going to call A1 = 30º.
The sum of a interior angle with it's respective exterior angle is also always 180º.
We have that one of the exterior angles is equal to 40°. So it's respective interior angle is
40º + A2 = 180º
A2 = 180º - 40º
A2 = 140º
Now we have two interior angles, and we know that the sum of the 3 interior angles is 180º. So:
A1 + A2 + A3 = 180º
A3 = 180º - A1 - A2
A3 = 180º - 30º - 140º
A3 = 180º - 170º
A3 = 10º
The answer is 24. you round up.
Answer:
(–∞, -4)
Step-by-step explanation:
Answer:
<A = 18.6 Degree
<B =74.4 Degree
<C = 87 Degree
Step-by-step explanation:
Sum of all the angles of triangle is 180
as given ,
<A = ?
<B = 4<A
<C = 5 <A - 6
As per rule ,
<A + <B +<C = 180
<A + 4 <A + 5<A - 6 = 180
10 <A - 6 = 180
10 <A = 180 + 6
<A = 186 / 10
<A = 18.6 Degree
Hence ,
< B = 4 X (18.6)
< B = 74.4 Degree
and
<C = 5 (18.6) - 6
<C = 87 Degree
PROOF
<A + <B + <C = 180
18.6 + 74.4 + 87 = 180
180 = 180
