Angle in a semi circle is 90°
<a = 180-90-<b = 90-28 = 62°
opposite angles of a cyclic quadrilateral sums up to 180°
<b + <a = 180
<b = 180-62
<b = 118°
Answer:
54° and 110°
Step-by-step explanation:
The opposite angles of a cyclic quadrilateral are supplementary, sum to 180°
(9)
19x - 26 + 7x - 2 = 180
26x - 28 = 180 ( add 28 to both sides )
26x = 208 ( divide both sides by 26 )
x = 8
Then
∠ EFG = 7x - 2 = 7(8) - 2 = 56 - 2 = 54°
(10)
21x - 33 + 14x + 3 = 180
35x - 30 = 180 ( add 30 to both sides )
35x = 210 ( divide both sides by 35 )
x = 6
Then
∠ YVW = 14x + 3 = 14(6) + 3 = 84 + 3 = 87°
The inscribed angle YVW is half the measure of its intercepted arc YW, so
arc YW = 2 × 87° = 174°, then
arc XW = 174° - 64° = 110°
Answer:
3.2
Step-by-step explanation:
4 is in the hundredths place. It is less than 5 so you leave the tenths place alone, so you get 3.2.
Answer:
Step-by-step explanation:
2x+3x+4x=180
8x=180
divide by 8 to both sides
x=22.5
Answer: the answer will be 3
Step-by-step explanation:
