Answer:
x-1= -18
x = -18 +1
x = -17
2x - 4 = - 38
2x = -38 + 4
2x = -34
x = -34/2
x = -17
Step-by-step explanation:
The measurement of fourth angle is: 130°
Further explanation:
Let A, B, C and D be the four angles.
m∠A=105°
m∠B=80°
m∠C=45°
We know that the sum of interior angles of a quadrilateral is 360°
So,
m∠A+m∠B+m∠C+m∠D=360°
105°+80°+45°+m∠D=360°
230°+m∠D=360°
m∠D=360°-230°
m∠D=130°
The measurement of fourth angle is: 130°
Keywords: Quadrilateral, Interior angles
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The value of x is 12.7 and the value of y is 9. The correct option is the third option x = 12.7; y = 9
<h3>Trigonometry </h3>
From the question, we are to determine the values of the missing sides
From the diagram,
Opposite = 9
Adjacent = y
Hypotenuse = x
Included angle = 45°
Using SOH CAH TOA, we can write that


∴ y = 9
Since the triangle is a right triangle, we can write that
x² = y² + 9² (<em>Pythagorean theorem</em>)
x² = 9² + 9²
x² = 81 + 81
x² = 162
x = √162
x = 12.7
Hence, the value of x is 12.7 and the value of y is 9. The correct option is the third option x = 12.7; y = 9
Learn more on Trigonometry here: brainly.com/question/24259483
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Answer:
31.25
Step-by-step explanation: