Certainly! Let's solve this problem step-by-step:
We are given that one of the angles in a right-angled triangle is 70 degrees. We need to find the remaining angle in degrees.
1. First, remember the basic properties of a right-angled triangle:
- A right-angled triangle has one angle that is exactly 90 degrees.
- The sum of all three angles in any triangle is always 180 degrees.
2. We’ve been given:
- One angle is 90 degrees (right angle).
- Another angle is 70 degrees.
3. To find the remaining angle, we need to subtract the sum of the known angles from the total sum of 180 degrees:
[tex]\[
\text{Remaining angle} = 180^\circ - (\text{right angle} + \text{given angle})
\][/tex]
4. Plugging in the known values:
[tex]\[
\text{Remaining angle} = 180^\circ - (90^\circ + 70^\circ)
\][/tex]
5. First, calculate the sum of the known angles:
[tex]\[
90^\circ + 70^\circ = 160^\circ
\][/tex]
6. Next, subtract this sum from 180 degrees:
[tex]\[
\text{Remaining angle} = 180^\circ - 160^\circ = 20^\circ
\][/tex]
Therefore, the remaining angle in the right-angled triangle is 20 degrees. Thus, we have:
- The right angle: 90 degrees.
- The given angle: 70 degrees.
- The remaining angle: 20 degrees.
