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What is the measure of the third angle in a right angled triangle, whose one angle is 52∘?
- a)38∘
- b)48∘
- c)52∘
- d)88∘
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
What is the measure of the third angle in a right angled triangle, who...
The total measure of all 3 angles of any triangle is 180degree. Every right-angled triangle or right triangle has one right angle, and that right angle measures 90 degree; therefore, we can write the following equation for our given right triangle:
The measure of the right angle + the given measure of one of the acute angles + the measure of the third angle = 180degree
90degree + 52degree + the measure of the third angle = 180degree
142degree + the measure of the third angle = 180degree
Now, subtract 142degree from both sides of the equation:
142degree - 142degree + the measure of the third angle = 180degree - 142degree
The measure of the third angle = 38degree
Most Upvoted Answer
What is the measure of the third angle in a right angled triangle, who...
To find the measure of the third angle in a right-angled triangle, we need to know that the sum of the measures of the three angles in any triangle is always 180 degrees. In a right-angled triangle, one of the angles is always 90 degrees.
Given that one angle of the triangle is 52 degrees, we can find the measure of the third angle by subtracting the sum of the known angles from 180 degrees.
Let's solve the problem step by step:
Step 1: Identify the known angles
- One angle is given as 52 degrees.
- The right angle is always 90 degrees.
Step 2: Calculate the measure of the third angle
To find the measure of the third angle, we subtract the sum of the known angles from 180 degrees.
180 degrees - (52 degrees + 90 degrees) = 180 degrees - 142 degrees = 38 degrees
So, the measure of the third angle in the right-angled triangle is 38 degrees.
Therefore, the correct answer is option A) 38.
Given that one angle of the triangle is 52 degrees, we can find the measure of the third angle by subtracting the sum of the known angles from 180 degrees.
Let's solve the problem step by step:
Step 1: Identify the known angles
- One angle is given as 52 degrees.
- The right angle is always 90 degrees.
Step 2: Calculate the measure of the third angle
To find the measure of the third angle, we subtract the sum of the known angles from 180 degrees.
180 degrees - (52 degrees + 90 degrees) = 180 degrees - 142 degrees = 38 degrees
So, the measure of the third angle in the right-angled triangle is 38 degrees.
Therefore, the correct answer is option A) 38.
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