Answer:
25
Step-by-step explanation:
so you replace all the x's with 15 and it becomes
2×15-5
2×15=30
30-5=25
The required measures of the angle are given as,
∠JKL = 72° ∠MLK = 108° ∠JMK = 36°
∠MJL = 54° ∠KNL = 90°
Given that.
The measure of the rhombus is given, we have to determine the measure of the angles,
<h3>What is angle?</h3>
orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as angle.
Here,
∠JKL= 2 × ∠JKM = 72°
∠MLK = 180 - 2 × ∠JKM = 108°
∠JMK = ∠JKM = 36°
∠MJL = ∠MLK/2 = 54°
The diagonal of the rhombus bisect each other at an angle of 90°
So,
∠KNL = 90°
Thus, all the measure of the angles is shown above.
Learn more about Angles here:
brainly.com/question/13954458
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Answer:
arc ABC = 196°
∠DCQ = 47°
Step-by-step explanation:
arc AD = 70°
∠D = 1/2 arc ABC = 98°
arc ABC = 98° * 2 = 196°
arc CD = 360° - arc AD - arc ABC = 360°-70°-196° = 94°
tangent chord angle DCQ = 1/2 arc CD = 1/2 * 94° = 47°
Answer:
<em>Part 1 : Equation: ( 3x - 9 ) + 30 + 24 = 180,</em>
<em>Part 2 : Value of x ⇒ 45°,</em>
<em>Part 3 : Measure of Angle U ⇒ 126°</em>
Step-by-step explanation:
~ Part 1 ~
We know that ∑ of angles in a triangle is 180;
m∠ U + m∠ V + m∠ W = 180°,
<em>Equation: ( 3x - 9 ) + 30 + 24 = 180</em>
~ Part 2 ~
Now let us simplify the equation above to solve for x;
3x - 9 + 30 + 24 = 180,
3x - 9 = 126,
3x = 135,
x = 45 degrees ( ° ) ⇒
<em>Value of x ⇒ 45°</em>
~ Part 3 ~
If it is known that m∠ U ⇒ 3x - 9;
m∠ U = 3 * ( 45 ) - 9,
m∠ U = 135 - 9,
m∠ U = 126 degrees ( ° ) ⇒
<em>Measure of Angle U ⇒ 126°</em>
