Two angle measures of a triangle are 35° and 50° . What is the measure, in degrees, of the other angle?
2 answers:
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Answer:
13.86 to the nearest tenth.
Step-by-step explanation:
A right angled triangle has three sides and it also has three angles. One of the angles is always 90 degrees while the other two angles are complimentary angles. This means that they add up to give 90 degrees.
The longest side is called the hypotenuse.
One of the shorter side is called the opposite.
The other shorter side is called the adjacent.
From the information given,
The length of the hypotenuse = 19cm
The length of the opposite side = 13cm
The length of the adjacent side = xcm
Applying Pythagoras theorem,
Hypothenuse ^2 = adjacent^2 + opposite ^2
19^2 = x^2 + 13^2
x^2 = 361 - 169 = 192
x = √192 = 13.8564
= 13.86 to the nearest tenth.
