Answer:
4. w = 31
5. x = 50
Step-by-step explanation:
To find the values of variable w and x in the given triangles above, recall that the sum of angles in a triangle = 180°.
Therefore,
==>w° + w° + (4w - 6)° = 180°
Solve for w
w + w + 4w - 6 = 180
6w - 6 = 180
Add 6 from both sides
6w = 180 + 6
6w = 186
Divide both sides by 6
w = 186/6
w = 31
==>Also, x° + x° + (x + 30)° = 180
x + x + x + 30 = 180
3x + 30 = 180
Subtract 30 from both sides
3x = 180 - 30
3x = 150
Divide both sides by 3
x = 150/3
x = 50
6.16 because 4/25 is 0.16 since 25 goes into 100 4 times and 4 times 4 is 16
Answer:
A. 60 degrees
Step-by-step explanation:
The sum of the abgles in a triangle is 180°. We are already given 96° and 24°.
so we will subtract the given values from 180 to find the third angle
180-(96+24)=180-120=60°
The answer is A. 60°
Triangle QST is similar to triangle PQR
We are given that measure of angle SRP is 90°
Q is the point of the hypotenuse SP
Segment QR is perpendicular to PS and T is a point outside the triangle on the left of s
We need to find which triangle is similar to triangle PQR
So,
Using Angle - Angle - Angle Criterion We can say that
m∠PQR = m∠SQR (AAA similarity)
m∠SQR=m∠SQT (AAA similarity)
Where m∠Q =90° in ΔQST and PQR
Therefore ΔQST is similar to ΔPQR
Learn more about similarity of triangles here
brainly.com/question/24184322
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