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4 years ago

What is the value of w? inscribed angles (Image down below)

Mathematics

1 answer:

Cloud [144]4 years ago

5 0

Answer:

w = 100°

Step-by-step explanation:

Opposite angles in an inscribed quadrilateral in a circle are supplementary.

Therefore, $w + 80 = 180$

Subtract 80 from both sides

$w + 80 - 80 = 180 - 80$

$w = 100$

The value of w = 100°

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10 added to the difference between t and 8

Eddi Din [679]

Answer:

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Step-by-step explanation:

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3 years ago

Please help me with my homework!

enyata [817]

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3 years ago

Can someone help.

r-ruslan [8.4K]

Answer:

m∠C = 38° (nearest whole number).

Step-by-step explanation:

To find the missing angle, use the Sine Rule.

Sine Rule (for angles)

$\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}$

where:

A, B and C are the angles
a, b and c are the sides opposite the angles

Given:

A = 53°
a = 18
c = 14

To find m∠C, substitute the given values into the formula and solve for C:

$\implies \sf \dfrac{\sin 53^{\circ}}{18}=\dfrac{\sin C}{14}$

$\implies \sf \sin C= \dfrac{14 \sin 53^{\circ}}{18}$

$\implies \sf C= \sin^{-1} \left( \dfrac{14 \sin 53^{\circ}}{18}\right)$

$\implies \sf C= 38.40096301...^{\circ}$

Therefore, m∠C = 38° (nearest whole number).

Learn more about the sine rule here:

brainly.com/question/27089170

brainly.com/question/27704834

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2 years ago