Question

please help will mark brainliest

Answer 1

Answer:

$m\angle N=57^{\circ}$

Step-by-step explanation:

From the isosceles-base theorem, the measure of the angles adjacent to the pair of congruent sides of the triangle are equal. Since the problem declares $LM\cong LN$, the remaining unknown angles are equal ($m\angle N=m\angle M$). The sum of the interior angles of a triangle always add up to $180^{\circ}$.

Therefore:

$m\angle N\cdot 2+66=180,\\m\angle N\cdot 2=114,\\m\angle N=\fbox{ 57^{\circ} }$ .

Answer 2

Answer:

LMN is rectangle in L so LMN= 180° ; ML=66°;N=?  N= 180°- 66°=114=114/2= 57° so N=57°

Step-by-step explanation:

When the angle at the top is close to 0 °, the two of the base get less than 180 °, or less than 90 ° for each. If the angle at the top is 60 °, the other two are: 180 - 60 = 120 °, and each is: 120/2 = 60 °.