A triangle has angles that measure 46° and 61°. What is the measure of the third angle? A. 15° B. 73° C. 107° D. 134°

1 answer:

5 0

The interior angles of a triangle need to be equal to 180°, so to solve this you need to figure out how many degrees you need to get 180°.

46 + 61 = 107

180 - 107 = 73

The measure of the third angle is B. 73°.

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Step-by-step explanation:

$30 \div \frac{1}{3} \\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:30=\frac{30}{1}\\=\frac{30}{1}\div \frac{1}{3}\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\=\frac{30}{1}\times \frac{3}{1}\\\\\mathrm{Apply\:rule}\:\frac{a}{1}=a\\=30\times \:3\\\\=90$