Answer:
x = 36°
Step-by-step explanation:
interior angle of regular pentagon: 180 x (5-2) /5 = 540 / 5 = 108
∠C = 108
CD = CB ∠CDB = ∠CBD = (180 - ∠C) /2
x = (180 - 108) / 2 = 36°
It's the first option, 3/23
Answer:
137
Step-by-step explanation:
175+115+145+115+135= 685
685÷5= 137
To put that into words you add up all the numbers and divide the sum by how many numbers there are.
Answer:I would add 3x on both sides because it would allow you to have a positive variable saving you time and effort.
Step-by-step explanation:7=7x-9
Answer:
Step-by-step explanation:
I am assuming that by "interior" angle you do not mean the central angle.
This is a 10-sided polygon, a decagon. That means that there are 10 triangles that can extend from the center, with their sides being equal to the radii of the decagon. If we extract one of these triangles we can find what the interior angle is. The vertex angle measures 360/10 which is 36.
Split this triangle in half from the vertex to the base, creating a right triangle. The vertex angle is also split in half, making this angle (the vertex angle is the one at the top of the triangle) 18 degrees. We already know that one angle inside this right triangle is 90 (definition of a right triangle) and to find the other one, we apply the Triangle Angle-Sum Theorem:
180 - 18 - 90 = 72 degrees. That is the measure of the base angle that is NOT the right angle, obviously.
