two angles are supplementary. what are the measures of two angles if the measure of the first angle is 40 more than half the second angle

and

Step-by-step explanation:

Two angles that are supplementary mean that they both add up to 180°.

If one angle is 40 more than half the second angle then,

a = + 40

Both angles together would be:

180 =

Step 1 - Subtract 40 from both sides of the equation:

Step 2 - Multiply both sides by 2:

Step 3 - Divide both sides by 3:

Step 4 - Plug this into the original equation to calculate the angle:

Therefore the two angles are:

and

Hope this helps!

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.