The measure of angle 1 is 106°, because since it is a straight line they measure would have to add up to 180°.
The value of x is 10, in the diagram, Vertically opposed angles
What is Vertically opposed angles?
Two lines intersecting at a point create vertical angles. Every time they are on an equal footing. Alternatively stated, four angles are created anytime two lines cross or intersect. Two opposed angles are equal and are referred to as vertical angles, as we can see. Due to their position opposite one another, they are also known as "Vertically opposed angles."
Angles that are vertically opposed to one another at a certain vertex are formed by two straight lines intersecting. The equality of the vertically opposed angles has been established.
Here in the diagram 5x = 2y
y = 5X/2
We have 2y+2y+8x = 180 in a straight line.
So 4y+8x = 180
4(5x/2) +8x = 180
10x+8x = 180
x = 180/18
x = 10
Hence, the value of x is 10, in the diagram.
Learn more about Vertically opposed angles , by the following link.
brainly.com/question/25208642
#SPJ1
Answer:
A=1512
Step-by-step explanation:
The area of a rectangle with a length of 27 and a height of 56 is 1512.
Formula: A=wl
A=wl=56·27=1512
Answer:
16.5km
Step-by-step explanation:
Liola drives 17km up a hill that is at a grade of 14 degrees. What horizontal distance, to the nearest tenth of kilometer, has she covered?
We solve using Trigonometric function of Cosine
cos theta = Adjacent/Hypotenuse
Theta = 14°
Hypotenuse = Distance up the hill = 17km
Adjacent = Horizontal distance = x
Hence,
cos 14 = x/17
Cross Multiply
x = cos 14 × 17
x = 16.495027347km
Approximately = 16.5km
The horizontal distance = 16.5km