Answer:
The measure of each angle is :
3x° = 33°
(5x+2)° =57°
Explanation:
From the diagram, angle <ABC is a right-angle triangle with a measure of 90°
This means the sum of the two angles <ABE + <CBE =90°
Given from the question :
<ABE = 3x°
<CBE = (5x+2)°
For an equation for sum of the two angles as;
<ABE + <CBE =90°
3x° + (5x+2)° = 90° ------collect like terms after opening the brackets
3x° +5x° + 2° =90°
8x°=90°-2°
8x°=88°
x°=88°/8° = 11°
Measure of the angles will be:
<ABE = 3x° = 3*11° = 33°
<CBE = (5x+2)° = (5*11° +2° ) =55°+2°= 57°
Answers are :
3x° = 33°
(5x+2)° =57°