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justinpatengale2002
10.10.2019 •
Mathematics
Given: arc ip + arc vk = 86°
find: ∠ksp
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Ответ:
Check the picture below.
using the intersecting chords theorem, let's see, we know that ∡IOP is 43° and since the angle across the junction is a vertical angle, is its twin.
let's recall that a circle has a total of 360°, so if we subtract those two vertical angles, namely 360 - 43 - 43 = 274°.
so the remaining two angles, which are also vertical angles, and therefore twins as well, each one will take 274 ÷ 2 = 137°.
Ответ:
The measure of angle KSP is![137\°](/tpl/images/0308/1067/b6d16.png)
Step-by-step explanation:
step 1
Find the measure of angle ISP
we know that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
we have
substitute
step 2
Find the measure of angle KSP
we know that
we have
substitute
Ответ:
Step-by-step explanation: