Answer:
Angles are 3x, 4x = [tex]60\°,80\°[/tex]
Angles from lowest to highest: [tex]60\°,60\°,80\°,140\°[/tex]
Step-by-step explanation:
Given: Two angles of a quadrilateral measure 140° and 80°. The other two angles are in a ratio of 3:4.
To find: value of x, measures of those two angles and
Also, to list the measures of the other two angles from lowest to highest.
Solution:
According to angle sum property of a quadrilateral, sum of angles of a quadrilateral is 180°.
Let the two angles be 3x and 4x
[tex]3x+4x+140\°+80\°=360\°\\7x+220\°=360\°\\7x=360\°-220\°=140\°\\x=\frac{140\°}{7}=20\°\\[/tex]
So, angles are as follows:
[tex]3x=3(20\°)=60\°\\4x=4(20\°)=80\°[/tex]
Angles from lowest to highest: [tex]60\°,60\°,80\°,140\°[/tex]