Question

Find the the measure of ktr give some explanation ​

Answer 1

We're required to find the value of angle KTR.

It can easily be seen that angle KTR and angle BTF are vertically opposite angles.

• Vertically opposite angles are the angles formed due to intersection of two lines and they are equal in measure.

`\therefore \: \angle \: KTR= \angle \: BTF \: \\ \implies \: 4h + 160 = 3h + 156 \\ grouping \: the \: like \: terms \: at \: either \: sides \\ \implies \: 4h - 3h = 156 - 160 \\ \implies \: \boxed{h = - 4\degree}`

now ,

`\angle \: KTR \: = 4h + 160 \\ \implies \: \angle \:KTR \: = 4( - 4) + 160 \\ \implies \: \angle \: KTR \: = - 16 + 160 \\ \implies \:\boxed{ \angle \:KTR = 144\degree}`

hope helpful! :)