Math Is Fun Forum

simonmagusflies

Member

Registered: 2021-05-23

Posts: 32

Help me with 2 trig questions, please

1. I know this one is relatively easy, I just cannot for the life of me remember these tricky angle rules, so please help.
In the diagram shown, parallel lines m and n are cut by transversal p.
https://i.imgur.com/ScllcCF.png
Which statement about angle 1 and angle 2 must be true?
A) Angle 1 ≅ Angle 2
B) Angle 1 is the complement of Angle 2
C) Angle 1 is the supplement of Angle 2
D) Angle 1 and Angle 2 are vertical angles

2. What is the value of x in this diagram?
https://i.imgur.com/Mpokyjc.png
A) 60 deg
B) 72 deg
C) 90 deg
D) 120 deg

Thanks!

Bob

Administrator

Registered: 2010-06-20

Posts: 10,626

Re: Help me with 2 trig questions, please

hi simonmagusflies

https://www.mathsisfun.com/geometry/parallel-lines.html

There's a really useful interactive diagram roughly 1/3 of the way down this page which will help with all sorts of transversal questions.

In the second problem we're not actually told that this is a regular shape but without this the problem cannot be done so let's assume that is a regular hexagon with equilateral triangles added to make the star shape.  How do I know they are equilateral?  Because the exterior angle of a regular hexagon is 360/6.

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob