Question

There are three questions below. Please Anwser

Answer 1

Answer:

Step-by-step explanation:

1. As  LU || AK and line RJ is transversal line (i.e. it intersects both the parallel lines), therefore, <ZTK and <UZT form a pair of co-interior angles.

The property of co-interior angles is that their sum is equal to 180*, therefore <ZTK + <UZT = 180*.

given, <UZT = 94*

so, <ZTK = 180*-94* = 86*.

2. As  TK || PJ and line RQ is transversal line (i.e. it intersects both the parallel lines), therefore, <TBN and <BNJ form a pair of alternate interior angles.

The property of alternate interior angles is that they are equal, therefore <TBN = <BNJ.

given, <BNJ = 97*

so, <ZTK = <BNJ = 97*.

3. As  LZ || CX and line RM is transversal line (i.e. it intersects both the parallel lines), therefore, <CYM and LSY form a pair of corresponding angles.

The property of corresponding angles is that they are equal, therefore <CYM = <LSY.

given, <LSY = 80*

so, <CYM = <LSY = 80*.