Question

Question 18 Find the value of n. *

ARST is congruent to AXYZ. Find the value of n.
R
40°
90%
T
8
50%
S
Y
Z
(2n + 10)
X

Answer 1

In congruent triangles ∆RST and ∆XYZ, with angle S as 40 degrees, angle R as 40 degrees, angle T as 90 degrees, and Y represented by 2n + 10, the value of n is 15.

In congruent triangles, corresponding angles are equal. Given that ∆RST is congruent to ∆XYZ, we can equate corresponding angles. In ∆RST, we know angle S is 50 degrees, angle R is 40 degrees, and angle T is 90 degrees.

Now, in ∆XYZ, the corresponding angles are represented by Y. Therefore, we can set up an equation:

Y = 2n + 10

Since ∆RST is congruent to ∆XYZ, we can equate the corresponding angles:

Y = 50

Now, substitute the expression for Y:

2n + 10 = 40

Subtract 10 from both sides:

2n = 30

Divide by 2:

n = 15

Thus, the value of n is 15.

The question probable may be:

∆ RST is congruent to ∆ XYZ. Find the value of n.