Answer:
a pair of corresponding sides must be shown congruent
Step-by-step explanation:
The triangles are "similar" if corresponding angles are congruent. The triangles will only be "congruent" if corresponding sides are also congruent. The additional information needed is that <em>there is one congruent pair of corresponding sides</em>. (If there's one pair, all pairs of corresponding sides will be congruent.)
Having one pair of corresponding sides congruent would allow you to invoke either of the ASA or AAS congruence postulates.
Answer: read the comments for extra added more accurate information this was in the comments and by HOZI3RSMUS3 so it’s not mine
We're suppose to measure the trigonometric values of the triangles and the values of indicates angles .For that,We need to know that,Sin θ = side opposite to angle θ / HypotenuseCos θ = side adjacent to angle θ / HypotenuseTan θ = side opposite to angle θ/side adjacent to angle θNow,In the first triangle,We're provided by,side opposite to angle θ =QR =24side adjacent to angle θ = PR = 10Hypotenuse = PQ = 26So,Sin P = 24/26Cos P = 10/26Tan P = 24/10m∠P = sin p° = 24/26m∠P= sin^-1(24/26)m∠P= 67.38 °In the second triangle,We're provided by,side opposite to angle θ =MO =9side adjacent to angle θ = NO = 40Hypotenuse = MN= 41So,Sin N= 9/41Cos N= 40/41Tan N= 9/40m∠N = sin N° = 9/41m∠N= sin^-1(9/41)m∠N= 12.68°In the third triangle,We're provided by,side opposite to angle θ =AC =15side adjacent to angle θ = AB = 8Hypotenuse = BC = 17So,Sin B = 15/17Cos B = 8/17Tan B = 15/8m∠B = sin p° = 15/17m∠B= sin^-1(15/17)m∠B= 61.93°In the fourth triangle,We're provided by,side opposite to angle θ =BC =8side adjacent to angle θ = AC = 6Hypotenuse = AB = 10So,Sin A = 8/10Cos A = 6/10Tan A = 8/6m∠A = sin p° = 8/10m∠A= sin^-1(8/10)m∠P= 53. °*53.13°
Step-by-step explanation:
Y= k/x
When y=42, x=6
42= k/6
k= 42x6
=252
When x=9,
y= 252/9
= 28
Answer:
the angles are 80 degrees and 40 degrees
Step-by-step explanation:
The sum of two opposite interior angles equal to the exterior opposite angle.
so;
4x + 2x = 120
x = 120 / 6
x = 20
4x = 80
2x = 40
