[Answer] Triangle KNM is isosceles where angle N is the vertex.What is the measure of angle K?

Answer: b. 25

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Triangle KNM is isosceles where angle N is the vertex.What is the measure of angle K? Angle Y is a right angle . The measure of angle Z is 45° The perpendicular bisector of XZ creates two smaller isosceles triangles . Thus ∠KNM=∠KNL+∠LNM ∠KNM=5x+10+6x-1=11x+9=11(11)+9=130° Now Since ∠K=∠M using the angle sum property in ΔKNM is an isosceles triangle with KL=LM and ∠K=∠M and NL bisects ∠KNM thus we get ∠NKM+∠KNM+∠KMN=180° ⇒2∠NKM+130°=180° ⇒2∠NKM=50° ⇒∠NKM=25° Thus the measure of angle K=25°. Triangle KNM is isosceles where angle N is the vertex . What is the measure of angle K? RT is a perpendicular bisector of UV. What is true of any triangle created by points U V and any point on RT other than S? It will be an isosceles triangle. Triangle SQT is … The vertex angle of an isosceles triangle measures 40° . What is the measure of a base angle? Triangle ABC is isosceles . What is true about the measure of angle B? It is equal to the measure of angle C. Consider the diagram and proof by contradiction. It is given that ∠B ≅ ∠C. Assume AB and AC are not congruent. The vertex angle of an isosceles triangle measures 40° . What is the measure of a base angle? Triangle KNM is isosceles where angle N is the vertex . What is the measure of angle K? Angle M has a measure of 47°. What is the measure of angle PNL? Triangle ABC is isosceles . Triangle JKL is isosceles. The measure of angle J is 72° and the measure of angle K is 36° . Which statement describes angle L? Angle L is a base angle and measures 72° . A regul...

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