Answer:
53°
Step-by-step explanation:
Of the two lines are parallel then x = 53°
If it's in halves, then two.
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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If it was 3:55 the time after an hour and a half would be 5:25
The lengths of the other two sides of the right triangle are 12 and 13
<h3>Pythagorean theorem </h3>
From the question, we are to determine the lengths of the other sides of the triangle
From the given information,
The other sides have lengths that are consecutive integers
Thus,
If the length of the other side is x
Then,
The hypotenuse will be x + 1
By the <em>Pythagorean theorem</em>, we can write that
(x+1)² = x² + 5²
(x+1)(x+1) = x² + 25
x² + x + x + 1 = x² + 25
x² - x² + x + x = 25 - 1
2x = 24
x = 24/2
x = 12
∴ The other leg of the right triangle is 12
Hypotenuse = x + 1 = 12 + 1 = 13
Hence, the lengths of the other two sides are 12 and 13
Learn more on Pythagorean theorem here: brainly.com/question/4584452
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