the measures of the angles of a quadrilateral are in the ratio of 1:2:3:4, find the measure of each angle
Let the angles be x, 2x, 3x, and 4x
What do you know about
x + 2x + 3x + 4x ?
algebra, when you add the same variable
right?
or is it when you multiply the measurement the the first number to figure out your sides
x+2x+3x+4x=360
take it from here
does x=36
To find the measure of each angle in a quadrilateral when the ratios of the angles are given, follow these steps:
Step 1: Add up the ratios to determine the total number of parts.
In this case, the sum of the ratios is 1 + 2 + 3 + 4 = 10.
Step 2: Determine the value of one part.
Divide the total sum of the ratios by the number of parts, which is 10 ÷ 10 = 1.
Step 3: Multiply each ratio by the value of one part to find the measure of each angle.
Given the ratios are 1:2:3:4, multiply each ratio by the value of one part to get the measures of the angles:
1 × 1 = 1,
2 × 1 = 2,
3 × 1 = 3,
4 × 1 = 4.
Therefore, the measures of the angles of the quadrilateral are 1, 2, 3, and 4 units.