Transcript Find the measure of the indicated arc or angle in Circle O

Geometry
Section 10.4
Inscribed Angles Boardwork
Find the measure of the indicated arc
or angle in Circle O
𝑚∠𝐵𝐴𝐶 = 66°
Find the measure of the indicated arc
or angle in Circle O
𝑚𝐵𝐶 = 56°
Find the measure of the indicated arc
or angle in Circle O
𝑚∠𝐵𝐴𝐶 = 43°
Find the measures of the indicated
arcs and angles
1.
2.
3.
4.
𝑚𝐸𝐵 =
𝑚∠𝐸𝐷𝐵 =
𝑚∠𝐷𝐸𝐶 =
𝑚∠𝐷𝐵𝐶 =
Find the measures of the indicated
arcs and angles
1.
2.
3.
4.
𝑚𝐸𝐵 = 48°
𝑚∠𝐸𝐷𝐵 = 24°
𝑚∠𝐷𝐸𝐶 = 31°
𝑚∠𝐷𝐵𝐶 = 31°
Solve for x.
96
2𝑥 + 1 =
2
2𝑥 + 1 = 48
2𝑥 = 47
𝑥 = 23.5
Solve for x.
𝑥 = 2𝑥 − 7
7=𝑥
Solve for x.
1
1
𝑥 + 5 + 𝑥 = 90
3
2
2
3
𝑥 + 𝑥 = 85
6
6
5
𝑥 = 85
6
5𝑥 = 510
𝑥 = 102
Solve for x.
2𝑥 + 13 = 3𝑥
13 = 𝑥
Solve for x.
𝑥 + 105 = 180
𝑥 = 75
Solve for each variable
2𝑥 + 100 = 180
2𝑥 = 80
𝑥 = 40
𝑦 + 87 = 180
𝑦 = 93
Solve for each variable
2𝑥 + 𝑥 + 12 = 180
3𝑥 = 168
𝑥 = 56
4𝑦 + 5𝑦 = 180
9𝑦 = 180
𝑦 = 20
Solve for each variable
3𝑥 + 90 = 180
3𝑥 = 90
𝑥 = 30
2𝑦 − 3 + 𝑦 + 5 = 180
3𝑦 + 2 = 180
3𝑦 = 178
𝑦 = 59. 3