What is the greatest common factor of 18 and 54?
1 answer:
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Answer:
m(∠y) = 64°
Step-by-step explanation:
From the figure attached,
m(∠e) = 90°
m(∠b) + 67° = 180° [Linear pair of angles]
m(∠b) = 180 - 67
= 113°
m(∠c) + 75° = 180° [Linear pair of angles]
m(∠c) = 105°
m(∠a) = m(∠d)
By the property of a polygon,
Sum of the interior angles of a polygon is given by,
Sum of interior angles = (n - 2) × 180°
Here, n = number of sides of the polygon
For n = 5,
Sum of interior angles = (5 - 2)×180°
= 540°
m(∠a) + m(∠b) + m(∠c) + m(∠d) + m(e) = 540°
2m(∠d) + 113° + 105° + 90° = 540°
2m(∠d) + 308 = 540°
2m(∠d) = 540 - 308
m(∠d) = 116°
m(∠d) + m(∠y) = 180°
m(∠y) + 116° = 180° [Linear pair of angles]
m(∠y) = 64°
The other angles in the isosceles triangle with an angle of 100° will be 40°
Step-by-step explanation:
Lets define an isosceles triangle first.
"An isosceles triangle is a triangle with two equal sides and two equal angles.
Given that an angle of the triangle is 100°
We know that the sum of internal angles of a triangle is 180°
The sum of remaining two angles is:
=180°-100°
=80°
As the triangle is an isosceles triangle, the two angles will be equal.
So the angles will be:
The other angles in the isosceles triangle with an angle of 100° will be 40°
Keywords: Triangle, isosceles triangle
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