Measure of ∠1 = 59° and measure of ∠2 = 121° using substitution method.
" A system of equation is a finite set of equations for which we need to find the common solution of unknown variables."
According to the question,
x represents measure of ∠1
y represents measure of ∠2
Two situations are given for which we need to find the system of equations.
Situation 1: Angle 1 and 2 are supplementary angles, which can be represents by equation:
x + y = 180° _____(1)
Situtaion2: Measure of angle 2 is 3 degree more than twice the measure of angle 1, which can be represents by equation:
y = 2(x) +3° _____(2)
Substitute the value of (2) in (1) we get,
x + 2(x) +3° = 180°
⇒ 3x + 3° = 180°
⇒ 3x = 180° - 3°
⇒ 3x = 177°
⇒ x = 177° / 3
⇒ x = 59°
Substitute the value of x to get the value of y we have,
y = 2(59°) + 3°
= 121°
Hence, Measure of ∠1 = 59° and measure of ∠2 = 121° using substitution method.
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