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IgorLugansk [536]
3 years ago
15

if angle 1 and angle 2 are vertical angles, angle 2 and angle 3 are complementary angles and the measure of angle 3 is 56 degree

s find measure of angle 1​
Mathematics
1 answer:
dimulka [17.4K]3 years ago
6 0

Answer:

34º

Step-by-step explanation: so basically you know a complementary angle is 2 angles that make a straight line and a vertical angle crosses which means 2 angles are congruent to each other so I drew a line that bisected the angle by drawing a line that cut through the right angle and i extended a line down from the right angle so now I have a vertical angle and a complementary so from here I labeled each angle <1 <2 <3  If I know angle 3 is 56º then I know 56 plus __ equals 90º I then subtracted 56 from 90 and I got 34 and since I am trying to figure out what angle 1 is I know that angle 1 and 2 are vertical angles therefore I know they are congruent to each other so <1 = 34º

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<span>
Numerator = N = x² + 4x - 45 </span>
= x² + 9x - 5x - 45 
= (x² + 9x) - (5x + 45) 
= x(x + 9) - 5(x + 9) 
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Denominator = D = x² + 10x + 9 </span>
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Hence, the given expr. = N/D </span>
= {(x + 9)(x - 5)}/{(x + 1)(x + 9) 
= (x - 5)/(x + 1) 
<span>
Restrictions : x ≠ - 1, x = 5 </span>


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