Complementary Angles: Two angles whose sum is _________?

Mathematics

2 answers:

astraxan [27]3 years ago

7 0

Hey there!

Complementary angles are two angles whose sum is 90°

Have a good day!

BartSMP [9]3 years ago

6 0

Answer:

90 degrees

Step-by-step explanation:

supplementary angles equal 180 degrees

so that means complementary angles equal 90 degrees

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What is the measure of arc WXY

bonufazy [111]

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152°

Step-by-step explanation:

Let P be any point on tangent $\overleftrightarrow{YZ}$ and WY is secant or chord of the $\odot J$ .

$\therefore m\angle WYZ + m\angle WYP = 180°\\(Straight \: line \: \angle 's) \\\therefore 104° + m\angle WYP = 180°\\\therefore m\angle WYP = 180°- 104° \\\red{\boxed {\bold {\therefore m\angle WYP = 76°}}} \\$

NOW, by tangent secant theorem:

$m\angle WYP =\frac{1}{2}\times m(\widehat{WXY}) \\\\76°=\frac{1}{2}\times m( \widehat{WXY}) \\\\76°\times 2 =m( \widehat{WXY}) \\\huge \purple {\boxed {\therefore m(\widehat{WXY}) = 152°}}$