Solve the following word problem using linear equations
please don't answer randomly it will make others think my questions already answerred :(
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let the first angle be x
second angle = 4x
3rd amgle = 2x +5°
we know that sum of angle of triangle is 180°
(4x + x + 2x + 5° ) = 180°
7x + 5° = 180
7x = 175
x = 175 / 7
= 25 °
first angle = 25°
second angle = 100°
3rd angle = 55°
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Answer:
Step 1. The sum of the three angles for a triangle is 180 degrees.
Step 2. Let x be the first angle.
Step 3. Let 4x be the second angle since it's four times the first.
Step 4. Let 2x+5 be the third angle since it is 5 degrees more than twice the first.
Step 5. Then, x+4x+2x+5=180 since the sum of the angles is 180 degrees.
Step 6. Solving the equation x+4x+2x+5=180 yields the following steps .
Subtract 5 from both sides of the equation
Subtract 5 from both sides of the equation 7x+5-5=180-5
5-5=180-5 7x=175
First Ang.=25°
Second Ang=4x=25*4=100°
Third Ang.=2x+5=2*25+5=55°
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