Respuesta :
Answer:
Measure of the smallest angle = 35 degrees.
Step-by-step explanation:
As it is a right triangle the values of the 2 smaller angles will add up to 90 degrees.
So the 2 angles can be written as x and 90-x and we have:
(90 - x) - x = 20
-2x = 20 - 90 = -70
x = 35.
So the 2 angles are 35 and 55 degrees.
In a right triangle measure of the smallest angle is equals to [tex]35[/tex] degrees.
What is angle?
" Angle is defined as when two rays meet at one point ."
According to the question,
In a right triangle,
[tex]'\theta'[/tex] represents the measure of smallest angle
[tex]'90- \theta'[/tex] represents the measure of largest angle.
As per given condition of angle we have,
[tex]90- \theta- \theta = 20\\\\\implies 2\theta = 90 + 20\\\\\implies \theta = \frac{70}{2}\\ \\\implies \theta = 35 degrees[/tex]
Hence, in a right triangle measure of the smallest angle is equals to [tex]35[/tex] degrees.
Learn more about angles here
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