Triangles Contain 180 Degrees
Quiz
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Cesar Gomez
Used 1+ times
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10 questions
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1.
FILL IN THE BLANK QUESTION
1 min • 1 pt
Find the Missing Angle "C"
Answer explanation
Start With: A + B + C = 180°
Fill in what we know: 66° + 39° + C = 180°
Rearrange: C = 180° - 66° - 39°
Calculate: C = 75°
Tags
CCSS.8.G.A.5
2.
FILL IN THE BLANK QUESTION
1 min • 1 pt
Find the Missing Angle "C"
Answer explanation
Start With: A + B + C = 180°
Fill in what we know: 56.7° + 41.2° + C = 180°
Rearrange: C = 180° − 56.7° − 41.2° = 180° − 97.9°
Calculate: C = 82.1°
Tags
CCSS.8.G.A.5
3.
FILL IN THE BLANK QUESTION
1 min • 1 pt
What is the size of the missing angle "C"?
Answer explanation
The triangle has two equal sides of length 4 units, so it is isosceles.
So the angle marked B must also be 39°
Next, in a triangle all three angles must add to 180°
So: A + B + C = 180°
Fill in what we know: 39° + 39° + C = 180°
Rearrange C = 180° - 39° - 39°
Calculate: C = 102°
Tags
CCSS.8.G.A.5
4.
FILL IN THE BLANK QUESTION
1 min • 1 pt
What is the size of the missing angle "B"?
Answer explanation
The triangle has two equal sides of length 10 units, so it is isosceles.
So the two angles marked B must be equal.
Next, in a triangle all three angles must add to 180°
So: 103.6° + B + B = 180°
Then: 103.6° + 2B = 180°
Rearrange: 2B = 180° − 103.6° = 76.4°
Divide by 2: B = 76.4° ÷ 2 = 38.2°
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
5.
FILL IN THE BLANK QUESTION
1 min • 1 pt
A triangle has angles in the ratio 2 : 3 : 4
What is the size of the smallest of the three angles?
Answer explanation
2 + 3 + 4 = 9
So we have to divide 180° into 9 equal parts:
180° ÷ 9 = 20°
The smallest angle is 2 parts = 2 × 20° = 40°
Tags
CCSS.8.G.A.5
6.
FILL IN THE BLANK QUESTION
1 min • 1 pt
A triangle has angles in the ratio 4 : 5 : 6
What is the size of the largest of the three angles?
Answer explanation
4 + 5 + 6 = 15
So we have to divide 180° into 15 equal parts:
180° ÷ 15 = 12°
The largest angle is 6 parts = 6 × 12° = 72°
Tags
CCSS.8.G.A.5
7.
FILL IN THE BLANK QUESTION
1 min • 1 pt
What is the size of angle ACD?
Answer explanation
In triangle ABC:
Start with: A + B + C = 180°
Fill in what we know: 75° + 61° + C = 180°
Rearrange: C = 180° − 75° − 61°
= 180° − 136°
Calculate: C = 44°
Now use angles on a straight line add to 180° to find angle ACD
ACD = 180° − 44° = 136°
Can you see a quicker way to do this?
Since we subtracted 136° from 180° to get 44° and then subtracted 44° from 180° to get 136°, we could just give the answer as 75° + 61° = 136°
Tags
CCSS.8.G.A.5
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