Question

The measure of the supplement if an angle is 46 more than 3 times the complement of the angle. Find the angle

Answer 1

ANSWER:

Let the required angle be x.

• Supplement of x = (180° − x)
• Complement of x = (90° − x)

⇒3 ×complement of x = 3(90° − x)

According to question;

Supplement of x = 3 × complement of x + 46°

⇒(180° − x) = 3(90° − x) + 46°

⇒180° − x = 270° − 3x + 46°

⇒− x + 3x = 316° − 180°

⇒2x = 136°

⇒x = 68°

Answer 2

Answer:

44 degrees

Step-by-step explanation:

x

Let the supplement/compliment by

y

x+

y=90

Complimentary angles add up to 90 degrees.

x+3

y=180

Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.

Evaluating this as a system:x+y=90 Isolate x:x=90−y Input into the other equation:(90−y)+3y=180Combine like terms, isolate y and its coefficients:2y=90 Isolate yy=45 Input into the first equation:x+45=90 Isolate x:x=45 degrees