Using the angle addition theorem, the measure of angle 2 in the given diagram is: m∠2 = 35°
<h3>What is the Angle Addition Theorem?</h3>
Based on the angle addition theorem, the sum of two smaller angles that make up a bigger angle equals the sum of the bigger angle.
Given the following:
m∠EBC = m∠EBD + m∠2 [angle addition theorem]
Substitute
55 = 20 + m∠2
m∠2 = 55 - 20
m∠2 = 35°
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Answer:
See below in bold.
Step-by-step explanation:
If we draw a line from the point of intersection to the longest side of the rectangle it will meet it at the midpoint.
The same thing will happen when the line is draw to the shortest side.
So the point of intersection is 1/2 * 7 = 3.5 cm from the longest side and 15/2 = 7.5 cm from the shortest side.
Answer:
b and c
Step-by-step explanation:
i hope this helps :)
Answer:
The ages of all three brothers are 4,6,8 years.
Step-by-step explanation:
Here n is the smallest of the three consecutive even integers, the condition gives you this equation
2n + 3*(n+2) + (n+4) = 34.
2n + 3n + 6 + n + 4 = 34
6n = 24
n = 4.
Answer. The ages are 4, 6 and 8 years.
Hope this helps you.
<span>Complementary
angles have angles whose sum is 90 degrees. The ‘c’ in complementary angle can
be used to form 9 in 90 degrees. Supplementary angles are angles whose sum is
180 degrees. The ‘s’ in supplementary angle can be used to form 8 in 180
degrees. If the intersection of P and Q creates a 71 degree angle, then 90 – 71
= 19 degrees is its complementary angle. Its supplementary angle is 180 – 71 =
109 degrees. The answer is <span>D)The
complementary angle is 19 degrees and the supplementary angle is 109 degrees.</span></span>
