At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
angle B =X
angle A = x+4
complementary angles= 90 degrees
x+x+4= 90
2x= 86
x= 43 degrees for angle B
43+4 = 47 degrees for angle A
Hope this helps
Answer:
Two angles are said to be complementary angles if the sum of the measure of angles is 90 degree.
As per the statement:
The measure of A is 4 degrees greater than the measure of B
⇒[tex]m \angle A = 4^{\circ} + m\angle B[/tex] .....[1]
It is given that: The two angles are complementary
By definition of complementary angles;
[tex]m \angle A+ m\angle B = 90^{\circ}[/tex] .......[2]
Substitute equation [1] into [2] we have;
[tex]4^{\circ} + m\angle B + m\angle B =90^{\circ}[/tex]
⇒[tex]4^{\circ} + 2 m\angle B =90^{\circ}[/tex]
Subtract 4 degree from both sides we have;
[tex]2 m\angle B=86^{\circ}[/tex]
Divide both sides by 2 we have';
[tex]m \angle B = 43[/tex]
Substitute in [1] we have;
[tex]m \angle A = 4 + 43 = 47^{\circ}[/tex]
Therefore, measure of each angles are:
[tex]m \angle A= 47[/tex] and [tex]m \angle B = 43[/tex]
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.
