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2 years ago

Awnser number 2! please

Mathematics

1 answer:

sdas [7]2 years ago

5 0

Answer:

35 + 145 = 180

62 + 118 = 180

105 + 75 = 180

122 + 58 = 180

Step-by-step explanation:

Angles that make straight angles are angles which add to 180 degrees.

35 + 145 = 180

62 + 118 = 180

105 + 75 = 180

122 + 58 = 180

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Solve a/-6 + 8 = 12. <br> a = __

Mariana [72]

Answer:

a=-24

Step-by-step explanation:

a/-6+8=12

a/-6=4

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2 years ago

In ⊙O, ST and VT are tangents. m∠STV = 22°. Find the value of a, b, and m∠SOV.

Rasek [7]

Answer:

$\huge \orange {\boxed {a =202\degree}}$

$\huge \purple {\boxed { b = 158\degree}}$

$\huge \red {\boxed {m\angle SOV = 158\degree}}$

Step-by-step explanation:

In $\odot$ O, ST and VT are tangents at points S and V respectively.

$\therefore OS\perp ST, \:and\: OV\perp VT$

$\therefore m\angle OST=m\angle OVT = 90\degree$

In quadrilateral OSTV,

$m\angle SOV +m\angle OST+m\angle OVT+m\angle STV = 360\degree$

(By interior angle sum postulate of a quadrilateral)

$m\angle SOV +90\degree +90\degree +22\degree = 360\degree$

$m\angle SOV +202\degree = 360\degree$

$m\angle SOV = 360\degree-202\degree$

$\huge \red {\boxed {m\angle SOV = 158\degree}}$

$\because b = m\angle SOV$

(Measure of minor arc is equal to measure of its corresponding central angle)

$\huge \purple {\boxed {\therefore b = 158\degree}}$

$\because a + b= 360\degree$

(By arc sum property of a circle)

$\therefore a = 360\degree - b$

$\therefore a = 360\degree -158\degree$

$\huge \orange {\boxed {\therefore a =202\degree}}$

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2 years ago

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Step-by-step explanation:

From the graph attached,

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