Question

Two angles are supplementary. The measure of the smaller angle is four more than one third the measure of the larger angle. The measure of the larger angle is

Answer 1

Answer:

132

Step-by-step explanation:

2 Angles are supplementary:

x + y = 180

The smaller angle is four more than one third of other:

y = 1/3x + 4

Plug in y into the original equation:

x + 1/3x + 4 = 180

Solve the equation:

4/3x = 176

x = 176 * 3/4

x = 132

y = 48

x is the larger angle so 132 is the answer

Answer 2

The measure of smaller and larger angles will be 48 degrees and 132 degrees, respectively.

Given information:

The two angles are supplementary. Let them be x (larger) and y (smaller).

The measure of the smaller angle is four more than one-third the measure of the larger angle.

The above condition can be written as,

$y=4+\dfrac{ x}{3}$

Supplementary angles are the angles whose sum of measure is equal to 180 degrees.

So, $x+y=180$

Solve the above two equations as,

$x+y=180\\x+(4+\dfrac{ x}{3})=180\\\dfrac{4x}{3}=176\\x=176\times \dfrac{3}{4}\\x=132\\y=48$

Therefore, the measure of smaller and larger angles will be 48 degrees and 132 degrees, respectively.

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https://brainly.com/question/19281924