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Question

Solution Steps

1. Understand the question

   what is the value of t?
   $t-23^\\circ$
   $t-12^\\circ$
   $t+48^\\circ$
   $t = \\square^\\circ$
   submit
   work it out
   not feeling ready yet? these can help:
   solve linear equations: mixed review
   angle measures

2. Explanation

   Step1: Use exterior angle property

   The exterior angle of a triangle equals the sum of the two non-adjacent interior angles. So:
   $$t+48^\circ=(t-23^\circ)+(t-12^\circ)$$

   Step2: Simplify right-hand side

   Combine like terms on the right:
   $$t+48^\circ=2t-35^\circ$$

   Step3: Isolate variable $t$

   Subtract $t$ and add $35^\circ$ to both sides:
   $$48^\circ+35^\circ=2t-t$$
   $$83^\circ=t$$

3. Final answer

   $t=83^\circ$

Answer

Question Analysis

OCR Text

what is the value of t?
$t-23^\\circ$
$t-12^\\circ$
$t+48^\\circ$
$t = \\square^\\circ$
submit
work it out
not feeling ready yet? these can help:
solve linear equations: mixed review
angle measures

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