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marissa [1.9K]
3 years ago
11

Angles BAE and FAC are straight angles. What angle relationship best describes angles BAC and EAF?Adjacent anglesComplementary a

nglesSupplementary anglesVertical angles
Mathematics
1 answer:
Natalka [10]3 years ago
8 0

The best angle relationship that describes angles BAC and EAF is supplementary angles

The sum of angle on a straight line is supplementary i.e. they sum up to 180 degrees.

If Angles BAE and FAC are straight angles, it means they are linear pairs and their sum is 180 degrees. Mathematically;

m<BAE + m<FAC = 180degrees

Hence we can conclude that the best angle relationship that describes angles BAC and EAF is supplementary angles

Learn more here: brainly.com/question/22309882

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\bf L.H.S = \tt \dfrac{sec\: \theta + tan \:  \theta - 1}{tan \:  \theta - sec \:  \theta + 1}  \\  \\

:  \implies \tt \dfrac{\frac{1}{cos  \: \theta}  +  \frac{sin \:  \theta}{cos \: \theta}  - 1}{  \frac{sin \:  \theta}{cos \:  \theta} -  \frac{1}{cos \:  \theta} + 1   } \:  =   \dfrac{1 + sin \:  \theta - cos \:  \theta}{sin \: \theta + cos \:  \theta} \\  \\

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: \implies \tt\dfrac{ sin^{2}  \:  \theta  + cos^{2}  \:  \theta  + 1 - 2  \: cos \:  \theta  - 2  \: sin \:  \theta \: (cos \:  \theta - 1)}{sin^{2}  \: \theta  -  (cos \:  \theta - 1)^{2} } \\  \\

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: \implies \tt\dfrac{2 - 2 \:  cos \:  \theta - 2 \: sin \:  \theta  \: cos \:  \theta + 2 \: sin \: \theta}{sin^{2} \: \theta + cos^{2} \: \theta  - sin^{2} \:  \theta - cos^{2}   \:  \theta  + 2 \: cos \:  \theta } \\  \\

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\huge\bigstar  \:\underline{\red{\sf Hence, Proved}} \:  \bigstar \\

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