50 points plus brainliest please help screenshot provided
2 answers:
Answer:
![\textsf{(a)} \quad (3x)^{\circ}+(x+14)^{\circ}=90^{\circ}](https://tex.z-dn.net/?f=%5Ctextsf%7B%28a%29%7D%20%5Cquad%20%283x%29%5E%7B%5Ccirc%7D%2B%28x%2B14%29%5E%7B%5Ccirc%7D%3D90%5E%7B%5Ccirc%7D)
![\textsf{(b)} \quad m \angle 1=\boxed{57}\:^{\circ}](https://tex.z-dn.net/?f=%5Ctextsf%7B%28b%29%7D%20%5Cquad%20m%20%5Cangle%201%3D%5Cboxed%7B57%7D%5C%3A%5E%7B%5Ccirc%7D)
![m \angle 2=\boxed{33}\:^{\circ}](https://tex.z-dn.net/?f=m%20%5Cangle%202%3D%5Cboxed%7B33%7D%5C%3A%5E%7B%5Ccirc%7D)
Step-by-step explanation:
From inspection of the given diagram:
<h3><u>Part (a)</u></h3>
A right angle is 90° and is represented by the ∟ symbol.
To find x, <u>equal</u> the sum of the angles to 90° and solve for x:
![\implies m \angle 1+m\angle2=90^{\circ}](https://tex.z-dn.net/?f=%5Cimplies%20m%20%5Cangle%201%2Bm%5Cangle2%3D90%5E%7B%5Ccirc%7D)
![\implies (3x)^{\circ}+(x+14)^{\circ}=90^{\circ}](https://tex.z-dn.net/?f=%5Cimplies%20%283x%29%5E%7B%5Ccirc%7D%2B%28x%2B14%29%5E%7B%5Ccirc%7D%3D90%5E%7B%5Ccirc%7D)
![\implies 3x+x+14=90](https://tex.z-dn.net/?f=%5Cimplies%203x%2Bx%2B14%3D90)
![\implies 4x+14=90](https://tex.z-dn.net/?f=%5Cimplies%204x%2B14%3D90)
![\implies 4x+14-14=90-14](https://tex.z-dn.net/?f=%5Cimplies%204x%2B14-14%3D90-14)
![\implies 4x=76](https://tex.z-dn.net/?f=%5Cimplies%204x%3D76)
![\implies 4x \div 4=76 \div 4](https://tex.z-dn.net/?f=%5Cimplies%204x%20%5Cdiv%204%3D76%20%5Cdiv%204)
![\implies x=19](https://tex.z-dn.net/?f=%5Cimplies%20x%3D19)
<h3><u>Part (b)</u></h3>
To find the degree measure of each angle, substitute the found value of x into the expression for each angle.
![\implies m \angle 1=(3 \cdot 19)^{\circ}=57^{\circ}](https://tex.z-dn.net/?f=%5Cimplies%20m%20%5Cangle%201%3D%283%20%5Ccdot%2019%29%5E%7B%5Ccirc%7D%3D57%5E%7B%5Ccirc%7D)
![\implies m \angle 2=(19+14)^{\circ}=33^{\circ}](https://tex.z-dn.net/?f=%5Cimplies%20m%20%5Cangle%202%3D%2819%2B14%29%5E%7B%5Ccirc%7D%3D33%5E%7B%5Ccirc%7D)
Answer:
Equation: ![\sf 3x + x + 14 = 90](https://tex.z-dn.net/?f=%5Csf%203x%20%2B%20x%20%2B%2014%20%3D%2090)
m∠1 = 57°
m∠2 = 33°
Explanation:
A right angle triangle has 90° angle measure.
Here:
m∠1 + m∠2 = 90°
(a)
Substitute given values:
(3x) + (x + 14) = 90
<u>simplify</u>
4x = 90 - 14
<u>evaluate</u>
4x = 76
<u>divide both sides by 4</u>
x = 19
(b)
m∠1 = 3x = 3(19) = 57°
m∠2 = x + 14 = 19 + 14 = 33°
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final answer is this
plz mark as brainliest
Answer:
450
Step-by-step explanation:
Answer:
hope this helps :)
Step-by-step explanation:
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