# Thread: Triangle angle measures

1. ## Triangle angle measures

In triangle ABC, the complement to angle A measures 38 degrees 49 minutes 48 seconds and the supplement to angle B measurres 76 degrees 23 second. What is the measure of angle C?

2. ## triangle angle measure

Originally Posted by chellyluv
In triangle ABC, the complement to angle A measures 38 degrees 49 minutes 48 seconds and the supplement to angle B measurres 76 degrees 23 second. What is the measure of angle C?
Good morning chelly,
Be not fooled by unnessary info which may or not be true.

bjh

3. Originally Posted by chellyluv
In triangle ABC, the complement to angle A measures 38 degrees 49 minutes 48 seconds and the supplement to angle B measurres 76 degrees 23 second. What is the measure of angle C?
Hi chellyluv,

You need only find the measure of angle A.

Since you know the supplement of angle C,
you can use the exterior angle theorem of a triangle to find C.

The measure of an exterior angle of a triangle
is equal to the sum of the measures of the two remote interior angles.

Find the measure of angle A:

Code:
  90 00' 00"    89 59' 60"
- 38 49' 48"  - 38 49' 48"
-----------   -----------
51 10' 12"
Now, since the supplement of angle B
is equal to the sum of the measures of angles A and C,
we can subtract the measure of angle A from that of B's supplement,
and we've found angle C.

Code:
 76 00' 23"     75 60' 23"
-51 10' 12"   - 51 10' 12"
-----------   -----------
24 50' 11"

4. ## triangle angle measures

Originally Posted by masters
Hi chellyluv,

You need only find the measure of angle A.

Since you know the supplement of angle C,
you can use the exterior angle theorem of a triangle to find C.

The measure of an exterior angle of a triangle
is equal to the sum of the measures of the two remote interior angles.

Find the measure of angle A:

Code:
  90 00' 00"    89 59' 60"
- 38 49' 48"  - 38 49' 48"
-----------   -----------
51 10' 12"
Now, since the supplement of angle B
is equal to the sum of the measures of angles A and C,
we can subtract the measure of angle A from that of B's supplement,
and we've found angle C.

Code:
 76 00' 23"     75 60' 23"
-51 10' 12"   - 51 10' 12"
-----------   -----------
24 50' 11"
This problem is intended to confuse by stating an angle in degrees,minutes,seconds and in referring to the supplement of B.
Atriangle containing an angle and its complement is a right triangle so angle C= 90 deg

bjh

5. Originally Posted by bjhopper
This problem is intended to confuse by stating an angle in degrees,minutes,seconds and in referring to the supplement of B.
Atriangle containing an angle and its complement is a right triangle so angle C= 90 deg

bjh
Hi bjhopper,

Unless I'm mistaken, the OP never said that the triangle contained both the angle and its complement. He just stated what the complement of angle A was. He never said it was in the triangle ABC. Same goes for the supplement of angle B.

Did you see my attachment? That's the way I understood the question. I see no trickery here.

6. ## triangle measures

Originally Posted by masters
Hi bjhopper,

Unless I'm mistaken, the OP never said that the triangle contained both the angle and its complement. He just stated what the complement of angle A was. He never said it was in the triangle ABC. Same goes for the supplement of angle B.

Did you see my attachment? That's the way I understood the question. I see no trickery here.
Hi Masters,
Ilooked on this as a trick question but I agree that your interpretation is correct.

bjh