Step-by-step explanation:
as the other triangle is Isosceles triangle which means it's two sides are equal and two angles are equal so
to find its 3rd angle apply angles sum property on it
according to which
2(68) + x = 180
136 + x = 180
x = 180 - 136
x = 44°
also we know, the other triangle is right angled triangle
so, it's one angle is 90° and 2nd angle is 44° (Vertically opposite angle)
therefore to know measure of angle 2 apply angle sum property of triangle in it too.
so,
90 + 44 + angle 2 = 180
134 + angle 2 = 180
angle 2 = 180 - 134
angle 2 = 46°
therefore, angle 2 is 46°
hope this answer helps you dear!
Answer:
8n+12=36, triplets are 8 years old
Step-by-step explanation:
total age is 36
one of them is 12 years old so -> 36-12 = 24
three triplets so 24/3 = 8
there are three 8 years olds and one 12 year old. n = 3
Let G be some point on the diagonal line away from point E.
Angle DEG represents angle 1.
We're given that angle DEF is a right angle which means it's 90 degrees. Angle DEG is some angle smaller than 90 degrees. By definition, that must mean angle 1 is acute. Any acute angle is smaller than 90 degrees. There's not much else to say other than this is just a definition problem.
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Extra side notes:
If angle 1 was a right angle, then that would mean angle GEF would have to be 0 degrees; however the diagram shows this isn't the case.
If angle 1 was obtuse, then there's no way we'd be able to fit it into angle DEF. In other words, there's no way to have an angle larger than 90 fit in a 90 degree angle.
