Determine the measure of the missing angle.

Mathematics

2 answers:

attashe74 [19]2 years ago

6 0

Step-by-step explanation:

65° + 57° + x = 180° ( the sum of angle of triangle is 180° )

122° + x = 180°

x = 180° - 122°

x = 58°

hence the answer is 58°....

Black_prince [1.1K]2 years ago

6 0

Answer:

58 degrees

Step-by-step explanation:

Sum of angles in a triangle is 180 degrees

180 = 65 + 57 + x

180 = 122 +x

x =180 -122

x = 58

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katen-ka-za [31]

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Step-by-step explanation:

This is a right triangle, so the Pythagorean theorem can be used. The Pythagorean theorem states that $C^2=a^2+b^2$ where C is the hypotenuse and a and b are legs. In this question, we are given a and C. So, plugin 13 for C and 5 for a and solve for b. Once you rearrange the equation you get, $b=\sqrt{13^2-5^2}$ . Next, solve what is under the root to get, $b=\sqrt{144}$ . Finally, square root 144 for the final answer b=12.