Question

Please help me to solve this question pleaseee ​

Answer 1

Explanation:

1) ML // JK , MK is transversal,

∠LMK = ∠MKJ {Alternate interior angles are congruent}

∠LMK = 30°

In ΔMKO,

30 + 115 + ∠ JLM = 180 {Angle sum property of triangle}

145 +∠ JLM = 180

∠ JLM = 180 - 145

∠ JLM = 35°

2) AB // CD , AC is transversal

∠DCA = ∠BAC {Alternate interior angles are congruent}

∠DCA = 23

∠BCD = ∠DCA + ∠BCA

= 23 + 37

= 60

3) EF // HG ; FH is transversal

∠FHG = ∠HFE {Alternate interior angles are congruent}

∠FHG = 77

4) ZY // WX ; WY is transversal

∠ZYW = ∠XWY {Alternate interior angles are congruent}

= 65

ZY // WX ; WY is transversal

∠ZWY = ∠WYX {Alternate interior angles are congruent}

= 36

In ΔWZY

36 + 65 + ∠z = 180

101 +∠Z = 180

∠Z = 180 - 101

∠Z = 79