Answer:
The third option is the answer.
Step-by-step explanation:
These triangles are clearly not congruent because they have different side length so the first 2 options are wrong.
Since both triangles already share a right angle. The other two angles in both triangles must both add up to 90.
It is given to use that sin z=cos w. That doesn't mean that angle z= angle w.
Consider a two similar two 30-60-90 triangles We are given the 90 degree right angle in both triangles. We are also given one 60 degree angle in one and a 30 degree triangle in one.
But they have two different angle measures.
However, by triangle interior theorem. The third angle must be
equal to the other corresponding angle of the other triangle. So angle z corresponds with Angle X.
By the AA theorem, The triangles are similar.
The third option is the answer.
The measure of ∠E = 87° and ∠F = 93°.
<h3>What is Parallelogram? What is triangle?</h3>
In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is a parallelogram in which EFGH the measure of angle E is (2x+3) and the measure of angle F is (3x - 33).
We can write -
2(2x + 3) + 2(3x - 33) = 360°
4x + 6 + 6x - 66 = 360°
10x - 60 = 360
10x = 420
x = 42
∠E = 2 x 42 + 3 = 84 + 3 = 87°
∠F = 3 x 42 - 33 = 126 - 33 = 93°
Therefore, the measure of ∠E = 87° and ∠F = 93°.
To solve more questions on 2 -D figures, visit the link below-
brainly.com/question/25950519
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Answer:
c
Step-by-step explanation:
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