Angles of Similar Triangles Practice Complete this assessment to review what you've learned. It will not count toward your grade. 1 of 51 of 5 Items Question △BCE∼△JKL. If m∠B=89°, m∠C=13°, and m∠E=78° what is m∠J?(1 point) m∠J= °
To determine the measure of ∠J, we can use the fact that corresponding angles in similar triangles are congruent. Therefore, ∠J is corresponding to ∠B, which has a measure of 89°. Therefore, m∠J = 89°.
△GHI∼△LKJ, and m∠G=30°, m∠H=80° , and m∠I=70°. What are the measures of angles J, K, and L? (2 points) m∠J = °, m∠K = °, and m∠L
Since ∆GHI is similar to ∆LKJ, the angles of ∆GHI correspond to the angles of ∆LKJ.
Given:
m∠G = 30°,
m∠H = 80°,
m∠I = 70°.
Corresponding angles are congruent, so:
m∠J = m∠G = 30°.
m∠K = m∠H = 80°.
m∠L = m∠I = 70°.
Therefore, m∠J = 30°, m∠K = 80°, and m∠L = 70°.
In △ABC , m∠A=63° and m∠C=99°. What is the measure of angle B?(1 point) m∠B =
To find the measure of angle B, we can use the fact that the sum of the angles in a triangle is 180°.
Given:
m∠A = 63°
m∠C = 99°
So, m∠A + m∠B + m∠C = 180°
Substituting the given values:
63° + m∠B + 99° = 180°
Combining like terms:
m∠B + 162° = 180°
To isolate m∠B, we can subtract 162° from both sides of the equation:
m∠B = 180° - 162°
Simplifying:
m∠B = 18°
Therefore, the measure of angle B is 18°.
△LMN is isosceles, with ∠M≅∠L and m∠L=36° . What are the measures of angles M and N ?(1 point) m∠M = ° and m∠N =
Since ∆LMN is an isosceles triangle, we know that ∠M and ∠N are congruent.
Given:
∠L = 36°
Since ∠M ≅ ∠L, we can say that:
m∠M = 36°
Since ∠M and ∠N are congruent, we can say that:
m∠N = 36°
Therefore, the measures of angles M and N are both 36°.