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Given: mAngleTRV = 60° mAngleTRS = (4x)° Prove: x = 30 3 lines are shown. A line with points T, R, W intersects with a line with points V, R, S at point R. A line extends from point R to point Z between angle V R W. Angle V R T is 60 degrees and angle T, R, S is (4 x) degrees. What is the missing reason in step 3?

Respuesta :

amcdade23

Answer:

the answer is angle addition postulate

Step-by-step explanation:

akposevictor

Given the proof for x = 30, the missing reason in step 3 is: angle addition postulate

What is Angle Addition Postulate?

Angle addition postulate states that if D is the interior of ∠ABC, therefore, the sum of the smaller angles equals the sum of the larger angle, which is: m∠ABD + m∠DBC = m∠ABC.

The given diagram as shown in the image attached below alongside the proof of x = 30.

T is the interior of straight angle ∠VRS.

m∠VRS = 180° (straight line angle)

Therefore, based on the angle addition postulate, m∠TRS + m∠TRV = 180°.

  • Thus, given the proof for x = 30, the missing reason in step 3 is: angle addition postulate

Learn more about angle addition postulate on:

https://brainly.com/question/24782727

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