Bài 12: Tổng các góc trong một tam giác
<span data-v-a7c68f28="">Hướng dẫn giải Bài 4.1 (Trang 62 SGK Toán 7, Bộ Kết nối tri thức, Tập 1)</span>
<p><strong>B&agrave;i 4.1 (Trang 62 SGK To&aacute;n lớp 7 - Bộ Kết nối tri thức với cuộc sống):</strong></p> <p>Tinh số đo c&aacute;c g&oacute;c x, y, z trong H&igrave;nh 4.6.</p> <p><img class="wscnph" style="max-width: 100%;" src="https://static.colearn.vn:8413/v1.0/upload/library/26052022/z3445220056762_77b97687bc4b9db8f2a8aebc8ed5726e-ryYvvs.jpg" /></p> <p><strong><em>Hướng dẫn giải:</em></strong></p> <p>X&eacute;t tam gi&aacute;c trong h&igrave;nh đầu ti&ecirc;n:&nbsp;</p> <p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>&#160;</mo><mo>+</mo><mo>&#160;</mo><mn>120</mn><mo>&#176;</mo><mo>&#160;</mo><mo>+</mo><mo>&#160;</mo><mn>35</mn><mo>&#176;</mo><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>180</mn><mo>&#176;</mo></math></p> <p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>180</mn><mo>&#176;</mo><mo>&#160;</mo><mo>-</mo><mo>&#160;</mo><mn>120</mn><mo>&#176;</mo><mo>&#160;</mo><mo>-</mo><mo>&#160;</mo><mn>35</mn><mo>&#176;</mo><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>25</mn><mo>&#176;</mo><mo>.</mo></math></p> <p>X&eacute;t tam gi&aacute;c trong h&igrave;nh thứ hai:</p> <p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>&#160;</mo><mo>+</mo><mo>&#160;</mo><mn>70</mn><mo>&#176;</mo><mo>&#160;</mo><mo>+</mo><mo>&#160;</mo><mn>60</mn><mo>&#176;</mo><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>180</mn><mo>&#176;</mo></math></p> <p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>180</mn><mo>&#176;</mo><mo>&#160;</mo><mo>-</mo><mo>&#160;</mo><mn>70</mn><mo>&#176;</mo><mo>&#160;</mo><mo>-</mo><mo>&#160;</mo><mn>60</mn><mo>&#176;</mo><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>50</mn><mo>&#176;</mo><mo>.</mo></math></p> <p>X&eacute;t tam gi&aacute;c trong h&igrave;nh thứ ba:</p> <p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z</mi><mo>&#160;</mo><mo>+</mo><mo>&#160;</mo><mn>90</mn><mo>&#176;</mo><mo>&#160;</mo><mo>+</mo><mo>&#160;</mo><mn>55</mn><mo>&#176;</mo><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>180</mn><mo>&#176;</mo></math></p> <p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>180</mn><mo>&#176;</mo><mo>&#160;</mo><mo>-</mo><mo>&#160;</mo><mn>90</mn><mo>&#176;</mo><mo>&#160;</mo><mo>-</mo><mo>&#160;</mo><mn>55</mn><mo>&#176;</mo><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>35</mn><mo>&#176;</mo></math></p> <p>Vậy&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>25</mn><mo>&#176;</mo><mo>;</mo><mo>&#160;</mo><mi>y</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>50</mn><mo>&#176;</mo><mo>;</mo><mo>&#160;</mo><mi>z</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>35</mn><mo>&#176;</mo><mo>.</mo></math></p>
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