Answer:
(A)
Step-by-step explanation:
From the given figure, we have to prove whether the two given triangles are congruent or similar.
Thus, From the figure, ∠3=∠4 (Vertically opposite angles)
Since, KL and NO are parallel lines and KO and LN are transversals, then
measure angle 1= measure angle 5 that is ∠1=∠5(Alternate angles).
Thus, by AA similarity rule, ΔKLM is similar to ΔONM.
Thus, Option A that is Triangle KLM is similar to triangle ONM because measure of angle 3 equals measure of angle 4 and measure of angle 1 equals measure of angle 5 is correct.
Answer:
∠TUY = 120°
Step-by-step explanation:
There are two rules you can apply here:
1) The sum of the angles inside a triangle is 180°. This means that ∠SUT = 180° - 70° - 50 ° = 60°
2) A vector coming out of a line two angles between itself and the line, and they add up to 180° as well. This means that ∠TUY = 180° - ∠SUT. So ∠TUY = 180° - 60° = 120°
So the missing angle one hundred and twenty degrees.
Supplementary angles add up to 180 degrees. Using this, we can set up an equation.
Angle 1 + Angle 2=180
124+(2x+4)=180
2x+128=180
2x=52
x=26
The value of x is 26
Answer:
18 cm
Step-by-step explanation:
The ratio of Actual length (L) to scale length is 27 : 3.6
27 ÷ 3.6 = 7.5
Therefore, actual width (W) = scale width x 7.5
= 2.4 x 7.5
= 18 cm
