Applying the triangle sum theorem, we have:
First angle measure = 35°
Second angle = 70°
Third angle = 75°
<h3>What is the Triangle Sum Theorem?</h3>
According to the triangle sum theorem, all angles in a triangle will give a sum of 180 degrees.
First angle measure = x
Second angle = 2x
Third angle = (2x + x) - 30 = 3x - 30
x + 2x + 3x - 30 = 180 [triangle sum theorem]
6x - 30 = 180
6x = 180 + 30
6x = 210
x = 210/6
x = 35
First angle measure = x = 35°
Second angle = 2x = 2(35) = 70°
Third angle = 3x - 30 = 3(35) - 30 = 75°
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Answer:
$4.21
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 4.9 × 14/100
Discount = 4.9 x 0.14
You save = $0.69
Final Price = Original Price - Discount
Final Price = 4.9 - 0.686
Final Price = $4.21
Answer:
Its the last option. M and N are similar but not congruent.
Step-by-step explanation:
They have the same shape but are a different size.
<u>Answer:</u>
<u>Step-by-step explanation:</u>
The sum of interior angles of a quadrilateral is 360°.
If we consider the measure of one of the unknown angles to be 
°, we can set up the following equation:
Now we can solve for :
⇒ 
⇒ 
[subtracting 192° from both sides]
⇒ 
⇒ 
[dividing both sides by 2]
⇒ 
Therefore, the other two angles each have a measure of 84°.
The answers are 6, 7, 8, and 11.
Hope this helps! :D
