The measure of the angle <JKL is 56 degrees
<h3>Tangent secant theorem of a circle</h3>
The theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
Given the following parameters
m<IL = 112 degrees
Since the measure of the vertex is half the measure of its intercepted arc, hence;
<JKl = 1/2(m<IL)
Substitute the given parameters into the formula to have;
<JKl = 1/2(112)
<JKL = 56 degrees
Hence the measure of the angle <JKL is 56 degrees
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25 , acute because 25 is an acute
Answer:245
Step-by-step explanation:36354
A given shape that is <u>bounded</u> by three sides and has got three <em>internal angles</em> is referred to as a <u>triangle</u>. Thus the <em>value</em> of PB is <u>8.0</u> units.
A given <u>shape</u> that is <em>bounded</em> by three <em>sides</em> and has got three <em>internal angles</em> is referred to as a <em>triangle</em>. Types of <u>triangles</u> include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The<em> sum</em> of the <u>internal</u> <u>angles</u> of any triangle is
.
In the given question, point P is such that <APB = <APC = <BPC =
. Also, line PB bisects <ABC into two <u>equal</u> measures. Thus;
<ABP = 
Thus,
<ABP + <APB + <BAP = 
30 + 120 + <BAP = 
<BAP =
- 150
<BAP = 
Apply the <em>Sine rule</em> to determine the <u>value</u> of <em>PB</em>, such that;
= 
= 
BP = 
= 
BP = 8.0
Therefore, the <u>value</u> of <u>BP</u> = 8 units.
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