Answer:
<h3>B. m∠R = 110°, m∠T = 110°, m∠U = 70°</h3>Step-by-step explanation:
The opposite angles of the parallelogram are the same.
From the diagram;
<S = <U and <R = <T
Given
<S = 70°
Since <S = <U, hence <U = 70°
Since the sum of angles in a quadrilateral is 360 degrees, hence;
<R+<S+<T+<U = 360
Since <R = <T, then;
<Y+<S+<T+<U = 360
2<T + 70+70 = 360
2<T = 360-140
2<T = 220
<T = 220/2
<T = 110°
Since <T = <R, then < R = 110°
Hence m∠R = 110°, m∠T = 110°, m∠U = 70°. Option B is correct
Answer:
The expression i.e. "BC equals AC times CE all over CD" will help Eshaal to determine the length of segment BC.
Step-by-step explanation:
<em>I have assumed you have asked the question as shown in figure a.</em>
Let us consider the triangle ACB as shown in fig a, in which:
Given:
segments DE and AB are parallel i.e. DE || AB
To Determine:
BC equals AC times CE all over CD i.e.
Solution:
If we observe closely enough, two triangles ABC and DEC are observed similar as their corresponding angles are congruent and the corresponding sides have a certain proportion, as shown in fig b.
So, by AAA (Angle-Angle-Angle) similarity, ΔABC∼ΔDEC
∠A ≅ ∠D and ∠B ≅ ∠E and ∠C ≅ ∠C
As the corresponding sides of similar triangles ABC and DEC have a certain proportion. So,
Therefore,
So, BC equals AC times CE all over CD
Therefore, the expression i.e. "BC equals AC times CE all over CD" will help Eshaal to determine the length of segment BC.
Keywords: segment, pyramid, triangle
Learn more about similar triangles from brainly.com/question/2835723
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