Answer:
m<ADC = 107
Step-by-step explanation:
You need to know three things to solve this problem.
1) Opposite angles of an inscribed quadrilateral are supplementary.
2) The measure of an inscribed angle is half the measure of its subtended arc.
3) The sum of the measures of all the arcs of a circle is 360 deg.
From 1) we get:
m<A + m<C = 180
72 + m<C = 180
m<C = 108
From 2) we get:
m<C = (1/2)m(arc)BAD
108 = (1/2)[m(arc)AB + m(arc)AD]
216 = m(arc)AB + 122
m(arc)AB = 94
From 3) we get:
m(arc)AB + m(arc)BC + m(arc)CD + m(arc)DA = 360
94 + 120 + m(arc)CD + 122 = 360
m(arc)CD = 24
From 2) we get:
m<ADC = (1/2)m(arc)ABC
m<ADC = (1/2)[m(arc)AB + m(arc)BC]
m<ADC = (1/2)[94 + 120]
m<ADC = 107
<u>Answer:</u>
Supplement of 84° is 96°
Complement of 54° is 36°
<u>Step-by-step explanation:</u>
1<u>) A supplementary angle is two angles that add up to 180°</u>
so to find the supplement of 84° ⇒ 180°- 84° = 96°
2) <u>A complementary angle is two angles that add up to 90°</u>
so to find the complement of 54° ⇒ 90°- 54° = 36°
Answer:
(
Step-by-step explanation:
Answer:
Your answer would be (−)−8
Step-by-step explanation:
(−)−11+3 = (−)−8
<em>I hope this is right have a great day/night - Lily~Senpai :P</em>
Answer:
0.0135
Step-by-step explanation:
