Question

Geometry is destroying me please help I'm struggling.

Answer 1

m<1 = 29

Explanation:

We can see from the picture that m<ABD is made up of two angles, m<1 and m<2. And we are told that m<ABD=116°. So it must be true that (m<1) + (m<2) = 118°

We are also told that m<2 is three times bigger than m<1. We can write this out as an expression: (m<2) = 3(m<1)

If (m<1) + (m<2) = 116, then (m<2) =116 - (m<1)

Remember we also know (m<2) = 3(m<1), so we can say:

3(m<1) = 116 - (m<1)

Now let's solve for m<1!

3(m<1) = 116 - (m<1)

4(m<1)=116

m<1 = 29

Hope this helps :) Let me know if you'd like me to explain anything further

Answer 2

m∠1 = 29°

Explanation:

Geometry is hard at first! Don't worry about it, you'll get the hang of it.

Since m∠ABD is 116, and the m∠2 is three times the m∠1, we can divide ∠ABD into 4 parts. For example, say m∠1 was equal to 1, and m∠2 was 3 times it, the total would be 4, since you add the two angles together.

Back to the question,

116÷4 = 29

That means m∠1 is equal to 29°.

You can check this by multiplying 29° by 3 to find m∠2, then adding that to m∠1 to see if its equal to m∠ABD:

29×3 = 87

87+29 = 116, yes it is equal.

Hope this helps! Once you understand how this works, it becomes pretty simple to do. I have a good feeling that you will get the hang of this! Good luck in geometry!