Question

Answers in geometry questions that I need to print ​

Answer 1

Answer:

2) m∠CBD = 25°

   The measure of arc CDB = 230°

4) m arc XY = 10°

   The measure of arc WZX = 330°

6) The answer is (c) ⇒ 10 millimeters

Step-by-step explanation:

2) ∵ the measure of arc BC = 130°

∵ Arc BCD is the semi-circle its measure 180°

∴ The measure of arc cd = 180 - 130 = 50°

∵ ∠CBD is inscribed angle subtended by arc CD

∴ m∠CBD = 1/2 measure arc CD

∴ m∠CBD = 50 ÷ 2 = 25°

∵ The measure of the circle is 360°

∵ The measure of arc BC = 130°

∴ The measure of arc CDB = 360 - 130 = 230°

4) ∵ The measure of arc WY = 40°  

   ∵ The measure of arc XZ = 30°

   ∵ The measure of arc WZ = 60°

∵ m arc WY + m arc XZ - m arc XY = m arc WZ

∴ m arc XY = 40 + 30 - 60

∴ m arc XY = 10°

∵ The measure of the circle is 360°

∴ The measure of arc WZX = 360 - m arc WX

∵ The measure of arc WX = WY - XY = 40 - 10 = 30°

∴ The measure of arc WZX = 360 - 30 = 330°

6) In the circle O

∵ OC ⊥ AB and OX ⊥ ZY

∵ OC = OX

∴ AB = ZY ⇒ Theorem

∵ AB = 10 millimeters

∴ ZY = 10 millimeters ⇒ answer (C)