Question

find the measure of the missing angle in a triangle with angles 43° and 67°. type your answer as a number only, without the degree symbol. question 2 1 pts find the hypotenuse of a right triangle with legs 8 in and 10 in. round your answer to the tenths place.

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of angles in a triangle is \(180^{\circ}\). Let the missing angle be \(x\). Then \(x + 43+67 = 180\).

Step2: Solve for \(x\)

\(x=180-(43 + 67)\)
\(x=180 - 110\)
\(x = 70\)

Step1: Use the Pythagorean theorem

For a right - triangle with legs \(a = 8\) and \(b = 10\) and hypotenuse \(c\), the Pythagorean theorem is \(c=\sqrt{a^{2}+b^{2}}\)
\(c=\sqrt{8^{2}+10^{2}}=\sqrt{64 + 100}=\sqrt{164}\)

Step2: Calculate the value

\(\sqrt{164}\approx12.8\)

Answer:

70