Chapter 4: Q. 101 (page 405)

Translate to a system of equation and solve.
The difference of two supplementary angles is $88$ degrees. Find the measures of the angles.

Short Answer

Expert verified

The measure of the angles are $46$ and $134$

Step by step solution

Step 1. Given information

Suppose $x$ represents the measure of the first angle.

and similarly, $y$ represents the measure of the second angle

Now, both the angles are supplementary

Therefore,

$x + y = 180$

Step 2. Creating the equation

The difference of two angles is $88$ .

Therefore, $x - y = 88$

Step 3. Finding the value x

Solve for $x$ :

$x + y = 180 x - y = 88$

localid="1658856459175" $2 x = 268$

localid="1658856465563" $x = \frac{268}{2}$

localid="1658856471082" $= 134$

Step 4. Finding the value y

Substitute $x = 134$ , in the equation

Therefore,

$y = 180 - 134$

$= 46$

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Translate to a system of equation and solve.
The difference of two supplementary angles is $88$ degrees. Find the measures of the angles.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Creating the equation

Step 3. Finding the value x

Step 4. Finding the value y

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Translate to a system of equation and solve.The difference of two supplementary angles is88 degrees. Find the measures of the angles.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Creating the equation

Step 3. Finding the value x

Step 4. Finding the value y

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Pure Maths

Logic and Functions

Geometry

Discrete Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Translate to a system of equation and solve.
The difference of two supplementary angles is $88$ degrees. Find the measures of the angles.