Respuesta :

Answer:

the measure of x is 38

Step-by-step explanation:

180-134=46 the value of one side of a line is 180 degrees so to find the vaule                of the inside angle we have to subtract 180 by the outside angle's

180-84=96

46+96=142 we then add the value's of both inside angles

180-142= 38

then we subtract that number by 180 because the total of all three angles of any triangle is always 180

Abu99

Answer:

x = 38°

Step-by-step explanation:

Maths problem always go back to a number of foundational rules;

Once you recognise the ones that are relevant, you can then apply them to find the value or solution you want to find;

First thing is to look at the question and information provided in order to identify the relevant rules;

This question is asking for an angle and we can see a triangle (not a right-angle triangle) and line beneath it;

What rules should we think of with this in mind?

The following;

  1. Angles in any triangle always add to 180°
  2. Angles on a straight line add to 180°

Using these rules, we can find x;

Firstly, according to rule 2, we can find angle OLM:

134 + OLM = 180

OLM = 180 - 134

OLM = 46

Secondly, also according to rule 2, we can find angle OML:

84 + OML = 180

OML = 180 - 84

OML = 96

Lastly, according to rule 1, we can find angle x:

OLM + OML + x = 180

46 + 96 + x = 180

x = 180 - 96 - 46

x = 38

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