Ineed to know the answer and how to solve the question for #9

So for this you need to use the properties of a triangle.

all angles within a triangle add up to 180

so on a rhomboid, given that all sides are of equal length, the top half and bottom half are essentially isosceles triangles.

therefore angle 2 = angle 4 and angle 1 = angle 3 so:

180 - 106 = 74 = ang 2 + ang 4

74/2 = angle 2 = angle 4 = 37 degrees

this is the angle for 1 and 3 as well because their triangle is a relflection of the lower triangle so all angles = 37 degrees

for the second question:

angle 1 + angle 2 + 26 = 180

but like in the previous example since those 3 angles form an isosceles triangle, angle 1 = 26 as well.

therefore,

180 = 26 + 26 + angle 2

180 - 26 - 26 = angle 2

angle 2 = 128

and since the upper triangle is a reflection of the lower triangle,

angle 3 = angle 2 = 128
 

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.