<span>Triangle is 180 degrees, so you will subtract 50 from 180 which will give you 130.</span>
it is 10...,,,,....,,,,,,,,,,?,,?????
Notice that if we add the 3 angles in the image, the outcome should be an angle of 180° (the one of the line alone)
With this, we will found that the answer is k = 13
Let's do the math, for the initial information we can write:
(4k - 7)° + 90° + (3k + 6°) = 180°
Where the 90° comes from the right angle, the one written with a little square.
Now we can solve this for k
(4k - 7)° + 90° + (3k + 6°) = 180°
(4k + 3k)° + (-7° + 90° + 6°) = 180°
7°k + 89° = 180°
7°k = 180° - 89° = 91°
k = 91°/7° = 13
So we found that the value of k is 13.
If you want to learn more, you can read:
brainly.com/question/13690593
The value of x in the diagram is 6.1 cm.
<h3>What is right-angle triangle?</h3>
A right-angle triangle is a triangle that has 90° as one of the angles in the triangle.
To calculate the value of x in the right-angled triangle above, we use the formula below
Formula:
- tanθ = y/x............ Equation 1
Make x the subject of equation 2
- x = y/tanθ............. Equation 2
From the question,
Given:
Substitute these values into equation 2
- x = 7/tan49°
- x = 7/1.15
- x = 6.1 cm
Hence, the value of x in the diagram is 6.1 cm.
Learn more about right-angled triangle here: brainly.com/question/64787
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